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Autor Rodino, Luigi |
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Título : Global Pseudo-Differential Calculus on Euclidean Spaces Tipo de documento: documento electrónico Autores: Nicola, Fabio ; SpringerLink (Online service) ; Rodino, Luigi Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Pseudo-Differential Operators, Theory and Applications num. 4 Número de páginas: X, 306 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8512-5 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Functional Global (Mathematics) Manifolds Partial differential equations Differential Equations Analysis and on Clasificación: 51 Matemáticas Resumen: This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied Nota de contenido: Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions En línea: http://dx.doi.org/10.1007/978-3-7643-8512-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33775 Global Pseudo-Differential Calculus on Euclidean Spaces [documento electrónico] / Nicola, Fabio ; SpringerLink (Online service) ; Rodino, Luigi . - Basel : Birkhäuser Basel, 2010 . - X, 306 p : online resource. - (Pseudo-Differential Operators, Theory and Applications; 4) .
ISBN : 978-3-7643-8512-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Functional Global (Mathematics) Manifolds Partial differential equations Differential Equations Analysis and on Clasificación: 51 Matemáticas Resumen: This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied Nota de contenido: Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions En línea: http://dx.doi.org/10.1007/978-3-7643-8512-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33775 Ejemplares
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Título : New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Rodino, Luigi ; Wong, M. W Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: Operator Theory: Advances and Applications num. 189 Número de páginas: VIII, 332 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8969-7 Idioma : Inglés (eng) Palabras clave: Mathematics Global analysis (Mathematics) Manifolds Operator theory Partial differential equations Theory Differential Equations Analysis and on Clasificación: 51 Matemáticas Nota de contenido: Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators -- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces -- Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group -- Construction of the Fundamental Solution and Curvature of Manifolds with Boundary -- Operators with Corner-Degenerate Symbols -- Ellipticity of Fredholm Pseudo-Differential Operators on L p (? n ) -- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets -- Generalized Fourier Integral Operators on Spaces of Colombeau Type -- On Local and Global Regularity of Fourier Integral Operators -- Type 1,1-Operators Defined by Vanishing Frequency Modulation -- Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes -- Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators -- Modified Stockwell Transforms and Time-Frequency Analysis -- Localization Operators for Two-Dimensional Stockwell Transforms -- Pseudo-Differential Operators on -- On Pseudo-Differential Operators on Group SU(2) -- Sampling and Pseudo-Differential Operators En línea: http://dx.doi.org/10.1007/978-3-7643-8969-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34097 New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 [documento electrónico] / SpringerLink (Online service) ; Rodino, Luigi ; Wong, M. W . - Basel : Birkhäuser Basel, 2009 . - VIII, 332 p : online resource. - (Operator Theory: Advances and Applications; 189) .
ISBN : 978-3-7643-8969-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Global analysis (Mathematics) Manifolds Operator theory Partial differential equations Theory Differential Equations Analysis and on Clasificación: 51 Matemáticas Nota de contenido: Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators -- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces -- Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group -- Construction of the Fundamental Solution and Curvature of Manifolds with Boundary -- Operators with Corner-Degenerate Symbols -- Ellipticity of Fredholm Pseudo-Differential Operators on L p (? n ) -- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets -- Generalized Fourier Integral Operators on Spaces of Colombeau Type -- On Local and Global Regularity of Fourier Integral Operators -- Type 1,1-Operators Defined by Vanishing Frequency Modulation -- Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes -- Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators -- Modified Stockwell Transforms and Time-Frequency Analysis -- Localization Operators for Two-Dimensional Stockwell Transforms -- Pseudo-Differential Operators on -- On Pseudo-Differential Operators on Group SU(2) -- Sampling and Pseudo-Differential Operators En línea: http://dx.doi.org/10.1007/978-3-7643-8969-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34097 Ejemplares
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Título : Operator Theory, Pseudo-Differential Equations, and Mathematical Physics : The Vladimir Rabinovich Anniversary Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Karlovich, Yuri I ; Rodino, Luigi ; Silbermann, Bernd ; Spitkovsky, Ilya M Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Operator Theory: Advances and Applications, ISSN 0255-0156 num. 228 Número de páginas: XXVI, 410 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0537-7 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich’s works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich’s research interests. Many of them are written by participants of the international workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics Nota de contenido: Preface -- Contributions by renowned scientists -- References En línea: http://dx.doi.org/10.1007/978-3-0348-0537-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32429 Operator Theory, Pseudo-Differential Equations, and Mathematical Physics : The Vladimir Rabinovich Anniversary Volume [documento electrónico] / SpringerLink (Online service) ; Karlovich, Yuri I ; Rodino, Luigi ; Silbermann, Bernd ; Spitkovsky, Ilya M . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XXVI, 410 p : online resource. - (Operator Theory: Advances and Applications, ISSN 0255-0156; 228) .
ISBN : 978-3-0348-0537-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Partial differential equations Differential Equations Theory Clasificación: 51 Matemáticas Resumen: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich’s works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich’s research interests. Many of them are written by participants of the international workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics Nota de contenido: Preface -- Contributions by renowned scientists -- References En línea: http://dx.doi.org/10.1007/978-3-0348-0537-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32429 Ejemplares
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Título : Pseudo-Differential Operators: Analysis, Applications and Computations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Rodino, Luigi ; Wong, M. W ; Zhu, Hongmei Editorial: Basel : Springer Basel Fecha de publicación: 2011 Colección: Operator Theory: Advances and Applications, ISSN 0255-0156 num. 213 Número de páginas: VIII, 308 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0049-5 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Partial differential equations Geometry Electrical engineering Differential Equations Theory Engineering Clasificación: 51 Matemáticas Resumen: This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13–18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010 Nota de contenido: Preface -- Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators -- Spectral Theory of Pseudo-Differential Operators on S1 -- A Characterization of Compact Pseudo-Differential Operators on S1 -- Melin Operator with Asymptotics on Manifolds with Corners -- The Iterative Structure of the Corner Calculus -- Elliptic Equations and Boundary Value Problems in Non-Smooth Domains -- Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators -- Lp Bounds for a Class of Fractional Powers of Subelliptic Operators -- The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator -- Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols -- Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane -- Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations -- The Continuity of Solutions with respect to a Parameter to Symmetric Hyperbolic Systems -- Generalized Gevrey Ultradistributions and their Microlocal Analysis -- Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators -- Time-Frequency Characterization of Stochastic Differential Equations -- Wigner Representation Associated with Linear Transformations of the Time-Frequency Plane -- Some Remarks on Localization Operators En línea: http://dx.doi.org/10.1007/978-3-0348-0049-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33253 Pseudo-Differential Operators: Analysis, Applications and Computations [documento electrónico] / SpringerLink (Online service) ; Rodino, Luigi ; Wong, M. W ; Zhu, Hongmei . - Basel : Springer Basel, 2011 . - VIII, 308 p : online resource. - (Operator Theory: Advances and Applications, ISSN 0255-0156; 213) .
ISBN : 978-3-0348-0049-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Partial differential equations Geometry Electrical engineering Differential Equations Theory Engineering Clasificación: 51 Matemáticas Resumen: This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13–18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010 Nota de contenido: Preface -- Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators -- Spectral Theory of Pseudo-Differential Operators on S1 -- A Characterization of Compact Pseudo-Differential Operators on S1 -- Melin Operator with Asymptotics on Manifolds with Corners -- The Iterative Structure of the Corner Calculus -- Elliptic Equations and Boundary Value Problems in Non-Smooth Domains -- Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators -- Lp Bounds for a Class of Fractional Powers of Subelliptic Operators -- The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator -- Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols -- Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane -- Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations -- The Continuity of Solutions with respect to a Parameter to Symmetric Hyperbolic Systems -- Generalized Gevrey Ultradistributions and their Microlocal Analysis -- Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators -- Time-Frequency Characterization of Stochastic Differential Equations -- Wigner Representation Associated with Linear Transformations of the Time-Frequency Plane -- Some Remarks on Localization Operators En línea: http://dx.doi.org/10.1007/978-3-0348-0049-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33253 Ejemplares
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Título : Pseudo-Differential Operators and Related Topics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Boggiatto, Paolo ; Rodino, Luigi ; Toft, Joachim ; Wong, M. W Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2006 Colección: Operator Theory: Advances and Applications num. 164 Número de páginas: VI, 244 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7514-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Integral equations Operator theory Partial differential Theory Differential Equations Clasificación: 51 Matemáticas Resumen: This volume consists of sixteen peer-reviewed articles based on the invited talks at the International Conference on Pseudo-Differential Operators and Related Topics held at Växjö University in Sweden from June 22 to June 25, 2004. The objective is to look at pseudo-differential operators and related topics and to report recent advances in a broad spectrum of topics such as partial differential equations, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics, time-frequency analysis, frames, and stochastic processes. The book should be of great interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. It is a valuable complement to the volume "Advances in Pseudo-Differential Operators" published in the same series in 2004 Nota de contenido: Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface -- Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators -- Quasilinear Hyperbolic Equations with SG-Coefficients -- Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems -- Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations -- Lp-Continuity for Pseudo-Differential Operators -- Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces -- Weyl Transforms and Convolution Operators on the Heisenberg Group -- Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus -- Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization -- Hudson’s Theorem and Rank One Operators in Weyl Calculus -- Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics -- Ultradistributions and Time-Frequency Analysis -- Frames and Generalized Shift-Invariant Systems -- The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes -- Reproducing Groups for the Metaplectic Representation En línea: http://dx.doi.org/10.1007/3-7643-7514-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35013 Pseudo-Differential Operators and Related Topics [documento electrónico] / SpringerLink (Online service) ; Boggiatto, Paolo ; Rodino, Luigi ; Toft, Joachim ; Wong, M. W . - Basel : Birkhäuser Basel, 2006 . - VI, 244 p : online resource. - (Operator Theory: Advances and Applications; 164) .
ISBN : 978-3-7643-7514-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Integral equations Operator theory Partial differential Theory Differential Equations Clasificación: 51 Matemáticas Resumen: This volume consists of sixteen peer-reviewed articles based on the invited talks at the International Conference on Pseudo-Differential Operators and Related Topics held at Växjö University in Sweden from June 22 to June 25, 2004. The objective is to look at pseudo-differential operators and related topics and to report recent advances in a broad spectrum of topics such as partial differential equations, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics, time-frequency analysis, frames, and stochastic processes. The book should be of great interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. It is a valuable complement to the volume "Advances in Pseudo-Differential Operators" published in the same series in 2004 Nota de contenido: Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface -- Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators -- Quasilinear Hyperbolic Equations with SG-Coefficients -- Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems -- Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations -- Lp-Continuity for Pseudo-Differential Operators -- Fredholm Property of Pseudo-Differential Operators on Weighted Hölder-Zygmund Spaces -- Weyl Transforms and Convolution Operators on the Heisenberg Group -- Uncertainty Principle, Phase Space Ellipsoids and Weyl Calculus -- Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization -- Hudson’s Theorem and Rank One Operators in Weyl Calculus -- Distributions and Pseudo-Differential Operators on Infinite-Dimensional Spaces with Applications in Quantum Physics -- Ultradistributions and Time-Frequency Analysis -- Frames and Generalized Shift-Invariant Systems -- The Wigner Distribution of Gaussian Weakly Harmonizable Stochastic Processes -- Reproducing Groups for the Metaplectic Representation En línea: http://dx.doi.org/10.1007/3-7643-7514-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35013 Ejemplares
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