subject:(Fourier integral operators)

University of Missouri – Columbia

1. Nguyen, Hanh Van (Researcher on mathematics). Maximal Fourier integrals and multilinear multiplier operators.

Degree: 2016, University of Missouri – Columbia

URL: https://doi.org/10.32469/10355/57249

► The first topic of this dissertation is concerned with the L² boundedness of a maximal Fourier integral operator which arises by transferring the spherical maximal… (more)

Subjects/Keywords: Fourier integral operators

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APA (6^th Edition):

Nguyen, H. V. (. o. m. (2016). Maximal Fourier integrals and multilinear multiplier operators. (Thesis). University of Missouri – Columbia. Retrieved from https://doi.org/10.32469/10355/57249

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nguyen, Hanh Van (Researcher on mathematics). “Maximal Fourier integrals and multilinear multiplier operators.” 2016. Thesis, University of Missouri – Columbia. Accessed January 18, 2021. https://doi.org/10.32469/10355/57249.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nguyen, Hanh Van (Researcher on mathematics). “Maximal Fourier integrals and multilinear multiplier operators.” 2016. Web. 18 Jan 2021.

Vancouver:

Nguyen HV(om. Maximal Fourier integrals and multilinear multiplier operators. [Internet] [Thesis]. University of Missouri – Columbia; 2016. [cited 2021 Jan 18]. Available from: https://doi.org/10.32469/10355/57249.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nguyen HV(om. Maximal Fourier integrals and multilinear multiplier operators. [Thesis]. University of Missouri – Columbia; 2016. Available from: https://doi.org/10.32469/10355/57249

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade do Rio Grande do Sul

2. Aquino, Junielson Pantoja de. Alguns resultados sobre a teoria de restrição da transformada de Fourier.

Degree: 2016, Universidade do Rio Grande do Sul

URL: http://hdl.handle.net/10183/159583

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A análise harmônica e o ramo da matemática que estuda a representação de funções ou sinais como a sobreposição de ondas base. Ela investiga e… (more)

Subjects/Keywords: Transformada de Fourier; Fourier transform; Oscillating integral operators

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APA (6^th Edition):

Aquino, J. P. d. (2016). Alguns resultados sobre a teoria de restrição da transformada de Fourier. (Thesis). Universidade do Rio Grande do Sul. Retrieved from http://hdl.handle.net/10183/159583

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Aquino, Junielson Pantoja de. “Alguns resultados sobre a teoria de restrição da transformada de Fourier.” 2016. Thesis, Universidade do Rio Grande do Sul. Accessed January 18, 2021. http://hdl.handle.net/10183/159583.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Aquino, Junielson Pantoja de. “Alguns resultados sobre a teoria de restrição da transformada de Fourier.” 2016. Web. 18 Jan 2021.

Vancouver:

Aquino JPd. Alguns resultados sobre a teoria de restrição da transformada de Fourier. [Internet] [Thesis]. Universidade do Rio Grande do Sul; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10183/159583.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Aquino JPd. Alguns resultados sobre a teoria de restrição da transformada de Fourier. [Thesis]. Universidade do Rio Grande do Sul; 2016. Available from: http://hdl.handle.net/10183/159583

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Rochester

3. Straub, Denitza Ivanova. Numerical and microlocal analysis of inverse problems with internal data.

Degree: PhD, 2016, University of Rochester

URL: http://hdl.handle.net/1802/30882

► This thesis studies a scale of hybrid inverse problems in noninvasive imaging, also called two-physics problems. The main focus is on recovering an unknown conductivity… (more)

Subjects/Keywords: CDII; Fourier integral operators; Hybrid imaging; Inverse problems; Linearization; Microlocal analysis

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APA (6^th Edition):

Straub, D. I. (2016). Numerical and microlocal analysis of inverse problems with internal data. (Doctoral Dissertation). University of Rochester. Retrieved from http://hdl.handle.net/1802/30882

Chicago Manual of Style (16^th Edition):

Straub, Denitza Ivanova. “Numerical and microlocal analysis of inverse problems with internal data.” 2016. Doctoral Dissertation, University of Rochester. Accessed January 18, 2021. http://hdl.handle.net/1802/30882.

MLA Handbook (7^th Edition):

Straub, Denitza Ivanova. “Numerical and microlocal analysis of inverse problems with internal data.” 2016. Web. 18 Jan 2021.

Vancouver:

Straub DI. Numerical and microlocal analysis of inverse problems with internal data. [Internet] [Doctoral dissertation]. University of Rochester; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1802/30882.

Council of Science Editors:

Straub DI. Numerical and microlocal analysis of inverse problems with internal data. [Doctoral Dissertation]. University of Rochester; 2016. Available from: http://hdl.handle.net/1802/30882

Temple University

4. Hanson-Hart, Zachary Aaron. A Cauchy Problem with Singularity Along the Initial Hypersurface.

Degree: PhD, 2011, Temple University

URL: http://digital.library.temple.edu/u?/p245801coll10,126171

►

Mathematics

We solve a one-sided Cauchy problem with zero right hand side modulo smooth errors for the wave operator associated to a smooth symmetric 2-tensor… (more)

Subjects/Keywords: Mathematics; Cauchy problem; Fourier Integral Operators; hyperbolic; Lorentz

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APA (6^th Edition):

Hanson-Hart, Z. A. (2011). A Cauchy Problem with Singularity Along the Initial Hypersurface. (Doctoral Dissertation). Temple University. Retrieved from http://digital.library.temple.edu/u?/p245801coll10,126171

Chicago Manual of Style (16^th Edition):

Hanson-Hart, Zachary Aaron. “A Cauchy Problem with Singularity Along the Initial Hypersurface.” 2011. Doctoral Dissertation, Temple University. Accessed January 18, 2021. http://digital.library.temple.edu/u?/p245801coll10,126171.

MLA Handbook (7^th Edition):

Hanson-Hart, Zachary Aaron. “A Cauchy Problem with Singularity Along the Initial Hypersurface.” 2011. Web. 18 Jan 2021.

Vancouver:

Hanson-Hart ZA. A Cauchy Problem with Singularity Along the Initial Hypersurface. [Internet] [Doctoral dissertation]. Temple University; 2011. [cited 2021 Jan 18]. Available from: http://digital.library.temple.edu/u?/p245801coll10,126171.

Council of Science Editors:

Hanson-Hart ZA. A Cauchy Problem with Singularity Along the Initial Hypersurface. [Doctoral Dissertation]. Temple University; 2011. Available from: http://digital.library.temple.edu/u?/p245801coll10,126171

University of Washington

5. Caday, Peter Anthony. On numerics and inverse problems.

Degree: PhD, 2015, University of Washington

URL: http://hdl.handle.net/1773/34021

► In this thesis, two projects in inverse problems are described. The first concerns a simple mathematical model of synthetic aperture radar with undirected beam, modeled… (more)

Subjects/Keywords: Caustics; Fourier integral operators; Synthetic aperture radar; Mathematics; mathematics

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APA (6^th Edition):

Caday, P. A. (2015). On numerics and inverse problems. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/34021

Chicago Manual of Style (16^th Edition):

Caday, Peter Anthony. “On numerics and inverse problems.” 2015. Doctoral Dissertation, University of Washington. Accessed January 18, 2021. http://hdl.handle.net/1773/34021.

MLA Handbook (7^th Edition):

Caday, Peter Anthony. “On numerics and inverse problems.” 2015. Web. 18 Jan 2021.

Vancouver:

Caday PA. On numerics and inverse problems. [Internet] [Doctoral dissertation]. University of Washington; 2015. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1773/34021.

Council of Science Editors:

Caday PA. On numerics and inverse problems. [Doctoral Dissertation]. University of Washington; 2015. Available from: http://hdl.handle.net/1773/34021

Universitat de Valencia

6. Primo Tárraga, Eva. Boundedness and compactness of operators related to time-frequency analysis .

Degree: 2018, Universitat de Valencia

URL: http://hdl.handle.net/10550/67731

► En esta tesis, estudiamos diferentes aspectos de los operadores relacionados con el análisis tiempo-frecuencia. Cada operador lineal y continuo de la clase de Schwartz en… (more)

▼ En esta tesis, estudiamos diferentes aspectos de los operadores relacionados con el análisis tiempo-frecuencia. Cada operador lineal y continuo de la clase de Schwartz en su dual, el espacio de distribuciones temperadas, se puede escribir como un operador integral con núcleo K, o también como un operador integral de Fourier (de hecho, pseudodiferencial). Las diferentes condiciones en el núcleo o el símbolo y la fase (en el caso de los operadores integrales de Fourier) permiten extender el operador a varios espacios de funciones y distribuciones. A continuación detallamos los contenidos de la memoria. En el primer capítulo presentamos la notación, las definiciones de algunos espacios, de sucesiones, funciones y distribuciones, como los espacios de modulación, espacios de Wiener, y los resultados preliminares, sobre por ejemplo frames de Gabor, que se utilizarán a lo largo de la tesis. El segundo capítulo está dedicado al estudio de los multiplicadores incondicionalmente convergentes. El resultado principal, una mejora del teorema de Orlicz, muestra que cada sucesión sumable incondicionalmente en un espacio de Hilbert puede factorizarse como el producto de una sucesión escalar de cuadrado sumable y una sucesión de Bessel del espacio de Hilbert. Con esto se obtienen algunas consecuencias sobre la representación de multiplicadores incondicionalmente convergentes utilizando multiplicadores de Bessel, un problema que introdujeron Balaz y Stoeva en 2013. El objetivo del tercer capítulo es investigar la compacidad de los operadores integrales de Fourier cuando actúan en espacios de modulación ponderados con pesos polinomiales, utilizando la representación matricial de los operadores integrales de Fourier con respecto a un frame de Gabor. Como consecuencia, recuperamos y mejoramos algunos resultados conocidos sobre la compacidad de los operadores pseudodiferenciales. También estudiamos las condiciones necesarias para extender la definición de estos operadores integrales de Fourier a espacios de modulación ponderados con pesos GRS, también a través de su representación matricial con respecto a un frame de Gabor. En el cuarto capítulo estudiamos las condiciones para la acotación de los operadores integrales de Fourier con una singularidad de tipo Hölder en la fase, cuando actúan en espacios de Lebesgue. Demostramos la acotación en L1 con una pérdida precisa del decaimiento en función del exponente de Hölder, y mostramos que se produce una pérdida incluso en el caso de fases suaves. Después abordamos la continuidad en L2, aportando un relevante contraejemplo para las condiciones impuestas en el caso L1, pero proporcionando condiciones suficientes para dicha continuidad. En el último capítulo estudiamos resultados sobre continuidad de multiplicadores unimodulares de Fourier. En ellos se presentan condiciones sobre la fase que representan que la fase no crece en el infinito y tiene oscilaciones moderadas o si crece en el infinito pero sigue oscilando de manera moderada. Encontramos algunos resultados suponiendo que las… Advisors/Committee Members: Fernández Rosell, Carmen (advisor).

Subjects/Keywords: Time-frequency analysis; Fourier integral operators; Gabor Frames

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Primo Tárraga, E. (2018). Boundedness and compactness of operators related to time-frequency analysis . (Doctoral Dissertation). Universitat de Valencia. Retrieved from http://hdl.handle.net/10550/67731

Chicago Manual of Style (16^th Edition):

Primo Tárraga, Eva. “Boundedness and compactness of operators related to time-frequency analysis .” 2018. Doctoral Dissertation, Universitat de Valencia. Accessed January 18, 2021. http://hdl.handle.net/10550/67731.

MLA Handbook (7^th Edition):

Primo Tárraga, Eva. “Boundedness and compactness of operators related to time-frequency analysis .” 2018. Web. 18 Jan 2021.

Vancouver:

Primo Tárraga E. Boundedness and compactness of operators related to time-frequency analysis . [Internet] [Doctoral dissertation]. Universitat de Valencia; 2018. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10550/67731.

Council of Science Editors:

Primo Tárraga E. Boundedness and compactness of operators related to time-frequency analysis . [Doctoral Dissertation]. Universitat de Valencia; 2018. Available from: http://hdl.handle.net/10550/67731

University of New Mexico

7. Saha, Arnab. Arithmetic jet spaces and modular forms.

Degree: Mathematics & Statistics, 2012, University of New Mexico

URL: http://hdl.handle.net/1928/20871

► In this thesis, we would look into the theory of arithmetic jet spaces and its application in modular forms. The arithmetic jet spaces can be… (more)

Subjects/Keywords: Jets (Topology); Forms; Modular; Ring extensions (Algebra); Homeomorphisms; Geometry; Algebraic; Arithmetical algebraic geometry; Number theory; Fourier integral operators; Hecke operators.

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APA (6^th Edition):

Saha, A. (2012). Arithmetic jet spaces and modular forms. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/20871

Chicago Manual of Style (16^th Edition):

Saha, Arnab. “Arithmetic jet spaces and modular forms.” 2012. Doctoral Dissertation, University of New Mexico. Accessed January 18, 2021. http://hdl.handle.net/1928/20871.

MLA Handbook (7^th Edition):

Saha, Arnab. “Arithmetic jet spaces and modular forms.” 2012. Web. 18 Jan 2021.

Vancouver:

Saha A. Arithmetic jet spaces and modular forms. [Internet] [Doctoral dissertation]. University of New Mexico; 2012. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1928/20871.

Council of Science Editors:

Saha A. Arithmetic jet spaces and modular forms. [Doctoral Dissertation]. University of New Mexico; 2012. Available from: http://hdl.handle.net/1928/20871

Loughborough University

8. Li, Liangpan. Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators.

Degree: PhD, 2016, Loughborough University

URL: http://hdl.handle.net/2134/23004

► In this dissertation we study non-negative self-adjoint Laplace type operators acting on smooth sections of a vector bundle. First, we assume base manifolds are compact,… (more)

▼ In this dissertation we study non-negative self-adjoint Laplace type operators acting on smooth sections of a vector bundle. First, we assume base manifolds are compact, boundaryless, and Riemannian. We start from the Fourier integral operator representation of half-wave operators, continue with spectral zeta functions, heat and resolvent trace asymptotic expansions, and end with the quantitative Wodzicki residue method. In particular, all of the asymptotic coefficients of the microlocalized spectral counting function can be explicitly given and clearly interpreted. With the auxiliary pseudo-differential operators ranging all smooth endomorphisms of the given bundle, we obtain certain asymptotic estimates about the integral kernel of heat operators. As applications, we study spectral asymptotics of Dirac type operators such as characterizing those for which the second coefficient vanishes. Next, we assume vector bundles are trivial and base manifolds are Euclidean domains, and study non-negative self-adjoint extensions of the Laplace operator which acts component-wise on compactly supported smooth functions. Using finite propagation speed estimates for wave equations and explicit Fourier Tauberian theorems obtained by Yuri Safarov, we establish the principle of not feeling the boundary estimates for the heat kernel of these operators. In particular, the implied constants are independent of self-adjoint extensions. As a by-product, we affirmatively answer a question about upper estimate for the Neumann heat kernel. Finally, we study some specific values of the spectral zeta function of two-dimensional Dirichlet Laplacians such as spectral determinant and Casimir energy. For numerical purposes we substantially improve the short-time Dirichlet heat trace asymptotics for polygons. This could be used to measure the spectral determinant and Casimir energy of polygons whenever the first several hundred or one thousand Dirichlet eigenvalues are known with high precision by other means.

Subjects/Keywords: 515; Local spectral asymptotics; Heat kernel; Dirac operators; Laplace operators; Pseudo-differential operators; Fourier integral operators; Wodzicki residue; Finite propagation speed; Spectral determinant

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APA (6^th Edition):

Li, L. (2016). Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/23004

Chicago Manual of Style (16^th Edition):

Li, Liangpan. “Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators.” 2016. Doctoral Dissertation, Loughborough University. Accessed January 18, 2021. http://hdl.handle.net/2134/23004.

MLA Handbook (7^th Edition):

Li, Liangpan. “Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators.” 2016. Web. 18 Jan 2021.

Vancouver:

Li L. Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators. [Internet] [Doctoral dissertation]. Loughborough University; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2134/23004.

Council of Science Editors:

Li L. Local spectral asymptotics and heat kernel bounds for Dirac and Laplace operators. [Doctoral Dissertation]. Loughborough University; 2016. Available from: http://hdl.handle.net/2134/23004

Florida Atlantic University

9. Randunu-Pathirannehelage, Nishantha. Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments.

Degree: 2015, Florida Atlantic University

URL: http://purl.flvc.org/fau/fd/FA00004401 ; (URL) http://purl.flvc.org/fau/fd/FA00004401

►

Summary: Fourier telescopy imaging is a recently-developed imaging method that relies on active structured-light illumination of the object. Reflected/scattered light is measured by a large… (more)

Subjects/Keywords: Fourier analysis; Fourier integral operators; Interconnects (Integrated circuit technology); Remote sensing; Spread spectrum communications; Wireless sensor networks

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APA (6^th Edition):

Randunu-Pathirannehelage, N. (2015). Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments. (Thesis). Florida Atlantic University. Retrieved from http://purl.flvc.org/fau/fd/FA00004401 ; (URL) http://purl.flvc.org/fau/fd/FA00004401

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Randunu-Pathirannehelage, Nishantha. “Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments.” 2015. Thesis, Florida Atlantic University. Accessed January 18, 2021. http://purl.flvc.org/fau/fd/FA00004401 ; (URL) http://purl.flvc.org/fau/fd/FA00004401.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Randunu-Pathirannehelage, Nishantha. “Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments.” 2015. Web. 18 Jan 2021.

Vancouver:

Randunu-Pathirannehelage N. Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments. [Internet] [Thesis]. Florida Atlantic University; 2015. [cited 2021 Jan 18]. Available from: http://purl.flvc.org/fau/fd/FA00004401 ; (URL) http://purl.flvc.org/fau/fd/FA00004401.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Randunu-Pathirannehelage N. Imaging through ground-level turbulence by fourier telescopy: simulations and preliminary experiments. [Thesis]. Florida Atlantic University; 2015. Available from: http://purl.flvc.org/fau/fd/FA00004401 ; (URL) http://purl.flvc.org/fau/fd/FA00004401

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Michigan

10. Hernandez-Duenas, Gerardo. Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86522

► noindent {bf Numerical Methods for Hyperbolic Systems.} This work considers the Baer-Nunziato model for two-phase flows in porous media with discontinuous porosity. Numerical discretizations may… (more)

▼ noindent {bf Numerical Methods for Hyperbolic Systems.} This work considers the Baer-Nunziato model for two-phase flows in porous media with discontinuous porosity. Numerical discretizations may fail to correctly capture the jump conditions across the so-called compaction wave, and yield incorrect solutions. This work formulates the system using the Riemann Invariants across the porosity jump, and proposes a hybrid algorithm that uses the Riemann Invariants formulation across the compaction wave, and the conservative formulation away from the compaction wave. The hybrid scheme is described and numerical results are presented. The shallow water equations for flows in channels with arbitrary cross-section are also considered. The system forms a hyperbolic set of balance laws. Exact steady-state solutions are available and are controlled by the relation between the bottom topography and the channel geometry. In this work a Roe-type upwind scheme for the system is developed. Considerations of conservation, near steady-state accuracy, velocity regularization and positivity near dry states are discussed. Numerical solutions are presented. noindent {bf Semiclassical Analysis.} This work is also concerned with the quantization of compact symplectic manifolds with boundary, contained in cotangent bundles. The boundary is always foliated by curves tangent to the kernel of the pull-back of the symplectic form. Assuming the fibrating-and-Bohr-Sommerfeld conditions, an algebra of semiclassical pseudodifferential operators with singular symbols that are naturally associated to the symplectic manifold is constructed. A symbolic calculus is developed, where elements in the algebra have principal symbols on the diagonal and on the flow-out given by the fibers of the foliation, with a singularity on the intersection. The singular principal symbols on the flow-out are identified with families of classical pseudodifferential operators acting on smooth half-densities on the fibers. It is shown that the algebra admits projectors under mild conditions, a generalized Szeg"o limit theorem is proved, and some corresponding singular propagators are studied. The action of the present singular propagators on coherent states is studied numerically, and it is observed that the center of the coherent states may split into more than one when it approaches to the boundary. Advisors/Committee Members: Karni, Smadar (committee member), Uribe-Ahumada, Alejandro (committee member), Burns Jr., Daniel M. (committee member), Jablonowski, Christiane (committee member), Krasny, Robert (committee member).

Subjects/Keywords: Partial Differential Equations; Hyperbolic Balance Laws; Semiclassical Analysis; Upwind Schemes; Multiphase Flows; Fourier Integral Operators; Mathematics; Science

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APA (6^th Edition):

Hernandez-Duenas, G. (2011). Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86522

Chicago Manual of Style (16^th Edition):

Hernandez-Duenas, Gerardo. “Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators.” 2011. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/86522.

MLA Handbook (7^th Edition):

Hernandez-Duenas, Gerardo. “Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators.” 2011. Web. 18 Jan 2021.

Vancouver:

Hernandez-Duenas G. Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/86522.

Council of Science Editors:

Hernandez-Duenas G. Numerical Methods for Porous Media and Shallow Water Flows & An Algebra of Singular Semiclassical Pseudodifferential Operators. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86522

11. Tjandrawidjaja, Yohanes. Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques.

Degree: Docteur es, Mathématiques appliquées, 2019, Université Paris-Saclay (ComUE)

URL: http://www.theses.fr/2019SACLY012

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Cette thèse porte sur la Half-Space Matching Method qui a été développée pour traiter certains problèmes de diffraction dans des domaines complexes infinis pour lesquels… (more)

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Cette thèse porte sur la Half-Space Matching Method qui a été développée pour traiter certains problèmes de diffraction dans des domaines complexes infinis pour lesquels les méthodes numériques existantes ne s'appliquent pas. En 2D, elle consiste à coupler plusieurs représentations en ondes planes dans des demi-espaces entourant les obstacles et une représentation éléments finis dans un domaine borné. Afin d'assurer la compatibilité entre les différentes représentations, les traces de la solution sont liées par des équations intégrales de Fourier posées sur les frontières infinies des demi-espaces. Dans le cas d'un milieu dissipatif, il a été montré que ce système d'équations intégrales est coercif plus compact dans un cadre L².Dans cette thèse, nous établissons des estimations d'erreur par rapport aux paramètres de discrétisation (à la fois pour les variables spatiales et les variables de Fourier). Pour traiter le cas non-dissipatif, nous proposons une version modifiée de la Half-Space Matching Method, obtenue en appliquant une dilatation complexe aux inconnues afin de retrouver le cadre L².Nous étendons ensuite la Half-Space Matching Method aux problèmes de diffraction dans une plaque élastique infinie 3D en vue d'applications au Contrôle Non Destructif. La difficulté par rapport au cas 2D vient de la décomposition sur les modes de Lamb utilisée dans les représentations de demi-plaque. La relation de bi-orthogonalité des modes des Lamb impose de considérer comme inconnues non seulement le champ de déplacement, mais aussi le champ de contrainte sur les bandes infinies au bord des demi-plaques. Certaines questions théoriques soulevées par cette formulation multi-inconnues sont étudiées dans le cas 2D scalaire. Des connexions avec les méthodes intégrales sont aussi abordées dans le cas où la fonction de Green est connue, au moins partiellement dans chaque sous-domaine.Les différentes versions de la méthode ont été mises en oeuvre dans la bibliothèque XLiFE++ et des résultats numériques sont présentés pour les cas 2D et 3D.

This thesis focuses on the Half-Space Matching Method which was developed to treat some scattering problems in complex infinite domains, when usual numerical methods are not applicable. In 2D, it consists in coupling several plane-wave representations in half-spaces surrounding the obstacle(s) with a Finite Element computation of the solution in a bounded domain. To ensure the matching of all these representations, the traces of the solution are linked by Fourier-integral equations set on the infinite boundaries of the half-spaces. In the case of a dissipative medium, this system of integral equations was proved to be coercive plus compact in an L² framework.In the present thesis, we derive error estimates with respect to the discretization parameters (both in space and Fourier variables). To handle the non-dissipative case, we propose a modified version of the Half-Space Matching Method, which is obtained by applying a complex-scaling to the unknowns, in order to recover the L² framework.We then…

Advisors/Committee Members: Bonnet-Ben Dhia, Anne-Sophie (thesis director), Fliss, Sonia (thesis director), Baronian, Vahan (thesis director).

Subjects/Keywords: Diffraction; Conditions aux limites transparentes; Opérateurs Fourier intégraux; Dilatation complexe; Élastodynamique; Modes de Lamb; Scattering; Transparent boundary condition; Fourier integral operators; Complex scaling; Elastodynamics; Lamb modes

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APA (6^th Edition):

Tjandrawidjaja, Y. (2019). Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques. (Doctoral Dissertation). Université Paris-Saclay (ComUE). Retrieved from http://www.theses.fr/2019SACLY012

Chicago Manual of Style (16^th Edition):

Tjandrawidjaja, Yohanes. “Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques.” 2019. Doctoral Dissertation, Université Paris-Saclay (ComUE). Accessed January 18, 2021. http://www.theses.fr/2019SACLY012.

MLA Handbook (7^th Edition):

Tjandrawidjaja, Yohanes. “Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques.” 2019. Web. 18 Jan 2021.

Vancouver:

Tjandrawidjaja Y. Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); 2019. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2019SACLY012.

Council of Science Editors:

Tjandrawidjaja Y. Some contributions to the analysis of the Half-Space Matching Method for scattering problems and extension to 3D elastic plates : Quelques contributions à l'analyse de la Half-Space Matching Method pour les problèmes de diffraction et son extension aux plaques 3D élastiques. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); 2019. Available from: http://www.theses.fr/2019SACLY012

Florida Atlantic University

12. Pava, Diego F. Transmitter-receiver system for time average fourier telescopy.

Degree: 2014, Florida Atlantic University

URL: http://purl.flvc.org/fau/fd/FA00004314

►

Summary: Time Average Fourier Telescopy (TAFT) has been proposed as a means for obtaining high-resolution, diffraction-limited images over large distances through ground-level horizontal-path atmospheric turbulence.… (more)

Subjects/Keywords: Digital communications; Fourier analysis; Fourier integral operators; Interconnects (Integrated circuit technology); Radio – Transmitter receivers – Design and construction; Spread spectrum communications; Wireless sensor networks

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APA (6^th Edition):

Pava, D. F. (2014). Transmitter-receiver system for time average fourier telescopy. (Thesis). Florida Atlantic University. Retrieved from http://purl.flvc.org/fau/fd/FA00004314

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pava, Diego F. “Transmitter-receiver system for time average fourier telescopy.” 2014. Thesis, Florida Atlantic University. Accessed January 18, 2021. http://purl.flvc.org/fau/fd/FA00004314.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pava, Diego F. “Transmitter-receiver system for time average fourier telescopy.” 2014. Web. 18 Jan 2021.

Vancouver:

Pava DF. Transmitter-receiver system for time average fourier telescopy. [Internet] [Thesis]. Florida Atlantic University; 2014. [cited 2021 Jan 18]. Available from: http://purl.flvc.org/fau/fd/FA00004314.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pava DF. Transmitter-receiver system for time average fourier telescopy. [Thesis]. Florida Atlantic University; 2014. Available from: http://purl.flvc.org/fau/fd/FA00004314

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Georgia Tech

13. Bishop, Shannon Renee Smith. Gabor and wavelet analysis with applications to Schatten class integral operators.

Degree: PhD, Mathematics, 2010, Georgia Tech

URL: http://hdl.handle.net/1853/33976

► This thesis addresses four topics in the area of applied harmonic analysis. First, we show that the affine densities of separable wavelet frames affect the… (more)

Subjects/Keywords: Wavelet frames; Fourier integral operators; Pseudodifferential operators; Gabor transform; Harmonic analysis; Wavelets (Mathematics); Fourier transformations

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APA (6^th Edition):

Bishop, S. R. S. (2010). Gabor and wavelet analysis with applications to Schatten class integral operators. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/33976

Chicago Manual of Style (16^th Edition):

Bishop, Shannon Renee Smith. “Gabor and wavelet analysis with applications to Schatten class integral operators.” 2010. Doctoral Dissertation, Georgia Tech. Accessed January 18, 2021. http://hdl.handle.net/1853/33976.

MLA Handbook (7^th Edition):

Bishop, Shannon Renee Smith. “Gabor and wavelet analysis with applications to Schatten class integral operators.” 2010. Web. 18 Jan 2021.

Vancouver:

Bishop SRS. Gabor and wavelet analysis with applications to Schatten class integral operators. [Internet] [Doctoral dissertation]. Georgia Tech; 2010. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1853/33976.

Council of Science Editors:

Bishop SRS. Gabor and wavelet analysis with applications to Schatten class integral operators. [Doctoral Dissertation]. Georgia Tech; 2010. Available from: http://hdl.handle.net/1853/33976

14. Tiruviluamala, Neelesh. On the Passage of Gaussian Beams through Cusps in Ray Paths.

Degree: Mathematics, 2012, UCLA

URL: http://www.escholarship.org/uc/item/67h542mr

► Gaussian beams are asymptotic solutions to hyperbolic partial differentiable equations which propagate along null bicharacteristic curves in phase space. To build gaussian beams, one constructs… (more)

Subjects/Keywords: Mathematics; Fourier Integral Operators; Gaussian Beams; Geometric Optics; Phase Shift

…a microlocalized global Fourier integral operator that we construct in chapters 4 and 5… …operators. ˜ x−˜ x)·ξ ] If we multiply eiα[(x0 −x0 )·ξ0 +(˜ by an… …Fourier synthesis. Using the method of geometric optics, one is not able to solve the above… …first step in understanding how this works is to analyze an integral I(x0 , x1 , η1 )… …ˇ0 (x1 , ξ0 , η1 )| > } > 0 is O to the integral I for any η1 b x0 , x1…

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APA (6^th Edition):

Tiruviluamala, N. (2012). On the Passage of Gaussian Beams through Cusps in Ray Paths. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/67h542mr

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tiruviluamala, Neelesh. “On the Passage of Gaussian Beams through Cusps in Ray Paths.” 2012. Thesis, UCLA. Accessed January 18, 2021. http://www.escholarship.org/uc/item/67h542mr.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tiruviluamala, Neelesh. “On the Passage of Gaussian Beams through Cusps in Ray Paths.” 2012. Web. 18 Jan 2021.

Vancouver:

Tiruviluamala N. On the Passage of Gaussian Beams through Cusps in Ray Paths. [Internet] [Thesis]. UCLA; 2012. [cited 2021 Jan 18]. Available from: http://www.escholarship.org/uc/item/67h542mr.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tiruviluamala N. On the Passage of Gaussian Beams through Cusps in Ray Paths. [Thesis]. UCLA; 2012. Available from: http://www.escholarship.org/uc/item/67h542mr

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Rochester

15. Palsu-Andriescu, Emanuel (1975 - ). Fourier integral operators on Colombeau spaces.

Degree: PhD, 2008, University of Rochester

URL: http://hdl.handle.net/1802/6093

► We consider Fourier integral operators whose phase functions and amplitudes are generalized Colombeau functions. We give a description of the relationship between the wave front… (more)

Subjects/Keywords: Microlocal analysis; Fourier integral operators; Wave front set; Colombean generalized functions

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Palsu-Andriescu, E. (. -. ). (2008). Fourier integral operators on Colombeau spaces. (Doctoral Dissertation). University of Rochester. Retrieved from http://hdl.handle.net/1802/6093

Chicago Manual of Style (16^th Edition):

Palsu-Andriescu, Emanuel (1975 - ). “Fourier integral operators on Colombeau spaces.” 2008. Doctoral Dissertation, University of Rochester. Accessed January 18, 2021. http://hdl.handle.net/1802/6093.

MLA Handbook (7^th Edition):

Palsu-Andriescu, Emanuel (1975 - ). “Fourier integral operators on Colombeau spaces.” 2008. Web. 18 Jan 2021.

Vancouver:

Palsu-Andriescu E(-). Fourier integral operators on Colombeau spaces. [Internet] [Doctoral dissertation]. University of Rochester; 2008. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/1802/6093.

Council of Science Editors:

Palsu-Andriescu E(-). Fourier integral operators on Colombeau spaces. [Doctoral Dissertation]. University of Rochester; 2008. Available from: http://hdl.handle.net/1802/6093

Universitat de Barcelona

16. Domingo Salazar, Carlos. Endpoint estimates via extrapolation theory.

Degree: Departament de Matemàtica Aplicada i Anàlisi, 2016, Universitat de Barcelona

URL: http://hdl.handle.net/10803/396143

► En aquesta tesi, estudiem variants de l’extrapolació de Rubio de Francia que permetin obtenir estimacions a prop de l’espai L1. Aquesta teoria l’apliquem després per… (more)

Subjects/Keywords: Espais de Sobolev; Espacios de Sobolev; Sobolev spaces; Espais de Banach; Espacios de Banach; Banach spaces; Anàlisi de Fourier; Análisis de Fourier; Fourier analysis; Espais de Lorentz; Espacios de Lorentz; Lorentz spaces; Operadors integrals; Operadores integrales; Integral operators; Anàlisi funcional; Análisis funcional; Functional analysis; Ciències Experimentals i Matemàtiques; 51

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APA (6^th Edition):

Domingo Salazar, C. (2016). Endpoint estimates via extrapolation theory. (Thesis). Universitat de Barcelona. Retrieved from http://hdl.handle.net/10803/396143

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Domingo Salazar, Carlos. “Endpoint estimates via extrapolation theory.” 2016. Thesis, Universitat de Barcelona. Accessed January 18, 2021. http://hdl.handle.net/10803/396143.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Domingo Salazar, Carlos. “Endpoint estimates via extrapolation theory.” 2016. Web. 18 Jan 2021.

Vancouver:

Domingo Salazar C. Endpoint estimates via extrapolation theory. [Internet] [Thesis]. Universitat de Barcelona; 2016. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10803/396143.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Domingo Salazar C. Endpoint estimates via extrapolation theory. [Thesis]. Universitat de Barcelona; 2016. Available from: http://hdl.handle.net/10803/396143

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

17. Abdeljawad, Ahmed. Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces.

Degree: 2019, Università di Torino

URL: http://hdl.handle.net/2318/1718409

Subjects/Keywords: microlocal analysis; time-frequency analysis; Fourier integral operators; hyperbolic Cauchy problems; modulation spaces; Sobolev-Kato spaces; Gevrey-Hörmander classes

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APA (6^th Edition):

Abdeljawad, A. (2019). Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces. (Thesis). Università di Torino. Retrieved from http://hdl.handle.net/2318/1718409

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Abdeljawad, Ahmed. “Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces.” 2019. Thesis, Università di Torino. Accessed January 18, 2021. http://hdl.handle.net/2318/1718409.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Abdeljawad, Ahmed. “Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces.” 2019. Web. 18 Jan 2021.

Vancouver:

Abdeljawad A. Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces. [Internet] [Thesis]. Università di Torino; 2019. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2318/1718409.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Abdeljawad A. Global microlocal analysis on Rd with applications to hyperbolic partial differential equations and modulation spaces. [Thesis]. Università di Torino; 2019. Available from: http://hdl.handle.net/2318/1718409

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology

18. Gallarati, C. Maximal regularity for parabolic equations with measurable dependence on time and applications.

Degree: 2017, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 10.4233/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:isbn:978-94-028-0554-3 ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac

► The subject of this thesis is the study of maximal L^p-regularity of the Cauchy problem u'(t)+A(t)u(t)=f(t), t∈ (0,T), u(0)=x. We assume (A(t))_{t∈ (0,T)} to be… (more)

Subjects/Keywords: Integral operators; maximal Lp-regularity; functional calculus,; selliptic and parabolic equations; Ap-weights; R-boundedness; extrapolation; quasi-linear PDE; Fourier multipliers; the Lopatinskii–Shapiro condition; mixed-norm

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APA (6^th Edition):

Gallarati, C. (2017). Maximal regularity for parabolic equations with measurable dependence on time and applications. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 10.4233/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:isbn:978-94-028-0554-3 ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac

Chicago Manual of Style (16^th Edition):

Gallarati, C. “Maximal regularity for parabolic equations with measurable dependence on time and applications.” 2017. Doctoral Dissertation, Delft University of Technology. Accessed January 18, 2021. http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 10.4233/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:isbn:978-94-028-0554-3 ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac.

MLA Handbook (7^th Edition):

Gallarati, C. “Maximal regularity for parabolic equations with measurable dependence on time and applications.” 2017. Web. 18 Jan 2021.

Vancouver:

Gallarati C. Maximal regularity for parabolic equations with measurable dependence on time and applications. [Internet] [Doctoral dissertation]. Delft University of Technology; 2017. [cited 2021 Jan 18]. Available from: http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 10.4233/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:isbn:978-94-028-0554-3 ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac.

Council of Science Editors:

Gallarati C. Maximal regularity for parabolic equations with measurable dependence on time and applications. [Doctoral Dissertation]. Delft University of Technology; 2017. Available from: http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 5257000e-2c42-4d4e-9fac-2177eae3d6ac ; 10.4233/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; urn:isbn:978-94-028-0554-3 ; urn:NBN:nl:ui:24-uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac ; http://resolver.tudelft.nl/uuid:5257000e-2c42-4d4e-9fac-2177eae3d6ac

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Open Access Theses and Dissertations