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Autor Spitkovsky, Ilya M |
Documentos disponibles escritos por este autor (4)
Refinar búsquedaConvolution Equations and Singular Integral Operators / SpringerLink (Online service) ; Lerer, Leonid ; Olshevsky, Vadim ; Spitkovsky, Ilya M (2010)
Título : Convolution Equations and Singular Integral Operators : Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Lerer, Leonid ; Olshevsky, Vadim ; Spitkovsky, Ilya M Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 206 Número de páginas: 240p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8956-7 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Operator theory Theory Equations Clasificación: 51 Matemáticas Resumen: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician Nota de contenido: Inversion of Finite Toeplitz Matrices -- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra -- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments -- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials -- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator -- The Spectrum of Singular Integral Operators in L p Spaces -- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p -- On Singular Integral Equations with Unbounded Coefficients -- Singular Integral Equations with Continuous Coefficients on a Composed Contour -- On a Local Principle and Algebras Generated by Toeplitz Matrices -- The Symbol of Singular Integral Operators on a Composed Contour -- One-dimensional Singular Integral Operators with Shift -- Algebras of Singular Integral Operators with Shift En línea: http://dx.doi.org/10.1007/978-3-7643-8956-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33778 Convolution Equations and Singular Integral Operators : Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik [documento electrónico] / SpringerLink (Online service) ; Lerer, Leonid ; Olshevsky, Vadim ; Spitkovsky, Ilya M . - Basel : Birkhäuser Basel, 2010 . - 240p : online resource. - (Operator Theory: Advances and Applications; 206) .
ISBN : 978-3-7643-8956-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Operator theory Theory Equations Clasificación: 51 Matemáticas Resumen: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician Nota de contenido: Inversion of Finite Toeplitz Matrices -- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra -- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments -- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials -- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator -- The Spectrum of Singular Integral Operators in L p Spaces -- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p -- On Singular Integral Equations with Unbounded Coefficients -- Singular Integral Equations with Continuous Coefficients on a Composed Contour -- On a Local Principle and Algebras Generated by Toeplitz Matrices -- The Symbol of Singular Integral Operators on a Composed Contour -- One-dimensional Singular Integral Operators with Shift -- Algebras of Singular Integral Operators with Shift En línea: http://dx.doi.org/10.1007/978-3-7643-8956-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33778 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 : Topics in Operator Theory : Volume 1: Operators, Matrices and Analytic Functions Proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 Tipo de documento: documento electrónico Autores: Joseph A. Ball ; SpringerLink (Online service) ; Bolotnikov, Vladimir ; Rodman, Leiba ; Helton, J. William ; Spitkovsky, Ilya M Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 202 Número de páginas: XXXVIII, 600 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0158-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory Analysis Theory Clasificación: 51 Matemáticas Resumen: The present volume is the first of two volumes containing a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The focus in this volume is on operator theory, linear algebra, and analytic functions. Further, a commemorative article of speeches and reminiscences dedicated to Israel Gohberg is presented Nota de contenido: A Quantitative Estimate for Bounded Point Evaluations in Pt(?)-spaces -- WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain -- Images of Minimal-Vector Sequences Under Weighted Composition Operators on L2( ) -- On Extensions of Indefinite Toeplitz-Kre?n-Cotlar triplets -- Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors -- Factorization Algorithm for Some Special Non-rational Matrix Functions -- Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming -- A Note on Semi-Fredholm Hilbert Modules -- The S-recurrence of Schur Parameters of Non-inner Rational Schur Functions -- Curvature of Universal Bundles of Banach Algebras -- A Contractive Operator View on an Inversion Formula of Gohberg-Heinig -- A Spectral Weight Matrix for a Discrete Version of Walsh’s Spider -- Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces -- Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices -- Best Constant Inequalities Involving the Analytic and Co-Analytic Projection -- Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian -- Quasidiagonal Extensions of the Reduced Group C*-algebras of Certain Discrete Groups -- Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves -- Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions -- Revisit to a Theorem of Wogen -- Survey on the Best Constants in the Theory of One-dimensional Singular Integral Operators -- Gantmacher-Krein Theorem for 2-totally Nonnegative Operators in Ideal Spaces -- Conditions for Linear Dependence of Two Operators -- Matrix Inequalities and Twisted Inner Products -- The Spectrum of a Composition Operator and Calderón’s Complex Interpolation -- Almost Periodic Factorization of 2 * 2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum -- Infinite Hankel Block Matrices, Extremal Problems -- On Compactness of Operators in Variable Exponent Lebesgue Spaces -- Extension to an Invertible Matrix in Convolution Algebras of Measures Supported in [0,+?) -- The Invariant Subspace Problem via Composition Operators-redux -- On Norms of Completely Positive Maps -- Some Exponential Inequalities for Semisimple Lie Groups -- Parabolic Quasi-radial Quasi-homogeneous Symbols and Commutative Algebras of Toeplitz Operators -- Algebraic Aspects of the Paving and Feichtinger Conjectures -- Dominating the Commutator En línea: http://dx.doi.org/10.1007/978-3-0346-0158-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33659 Topics in Operator Theory : Volume 1: Operators, Matrices and Analytic Functions Proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 [documento electrónico] / Joseph A. Ball ; SpringerLink (Online service) ; Bolotnikov, Vladimir ; Rodman, Leiba ; Helton, J. William ; Spitkovsky, Ilya M . - Basel : Birkhäuser Basel, 2010 . - XXXVIII, 600 p : online resource. - (Operator Theory: Advances and Applications; 202) .
ISBN : 978-3-0346-0158-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory Analysis Theory Clasificación: 51 Matemáticas Resumen: The present volume is the first of two volumes containing a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The focus in this volume is on operator theory, linear algebra, and analytic functions. Further, a commemorative article of speeches and reminiscences dedicated to Israel Gohberg is presented Nota de contenido: A Quantitative Estimate for Bounded Point Evaluations in Pt(?)-spaces -- WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain -- Images of Minimal-Vector Sequences Under Weighted Composition Operators on L2( ) -- On Extensions of Indefinite Toeplitz-Kre?n-Cotlar triplets -- Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors -- Factorization Algorithm for Some Special Non-rational Matrix Functions -- Structured Primal-dual Interior-point Methods for Banded Semidefinite Programming -- A Note on Semi-Fredholm Hilbert Modules -- The S-recurrence of Schur Parameters of Non-inner Rational Schur Functions -- Curvature of Universal Bundles of Banach Algebras -- A Contractive Operator View on an Inversion Formula of Gohberg-Heinig -- A Spectral Weight Matrix for a Discrete Version of Walsh’s Spider -- Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces -- Theory vs. Experiment: Multiplicative Inequalities for the Numerical Radius of Commuting Matrices -- Best Constant Inequalities Involving the Analytic and Co-Analytic Projection -- Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian -- Quasidiagonal Extensions of the Reduced Group C*-algebras of Certain Discrete Groups -- Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves -- Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions -- Revisit to a Theorem of Wogen -- Survey on the Best Constants in the Theory of One-dimensional Singular Integral Operators -- Gantmacher-Krein Theorem for 2-totally Nonnegative Operators in Ideal Spaces -- Conditions for Linear Dependence of Two Operators -- Matrix Inequalities and Twisted Inner Products -- The Spectrum of a Composition Operator and Calderón’s Complex Interpolation -- Almost Periodic Factorization of 2 * 2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum -- Infinite Hankel Block Matrices, Extremal Problems -- On Compactness of Operators in Variable Exponent Lebesgue Spaces -- Extension to an Invertible Matrix in Convolution Algebras of Measures Supported in [0,+?) -- The Invariant Subspace Problem via Composition Operators-redux -- On Norms of Completely Positive Maps -- Some Exponential Inequalities for Semisimple Lie Groups -- Parabolic Quasi-radial Quasi-homogeneous Symbols and Commutative Algebras of Toeplitz Operators -- Algebraic Aspects of the Paving and Feichtinger Conjectures -- Dominating the Commutator En línea: http://dx.doi.org/10.1007/978-3-0346-0158-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33659 Ejemplares
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Título : Topics in Operator Theory : Volume 2: Systems and Mathematical Physics Proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Joseph A. Ball ; Bolotnikov, Vladimir ; Rodman, Leiba ; Spitkovsky, Ilya M ; Helton, J. William Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 203 Número de páginas: IX, 446 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0161-0 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Resumen: This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications Nota de contenido: Exact Solutions to the Nonlinear Schrödinger Equation -- Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation -- Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line -- Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation -- The Gelfand-Levitan Theory for Strings -- On the Uniqueness of a Solution to Anisotropic Maxwell’s Equations -- Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems Constantin Bu?e and Akbar Zada -- Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics -- Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials -- Additive Invariants on Quantum Channels and Regularized Minimum Entropy -- A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators -- On the Eigenvalues of the Lax Operator for the Matrix-valued AKNS System -- An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem -- Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs -- Mapping Properties of Layer Potentials Associated with Higher-Order Elliptic Operators in Lipschitz Domains -- Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective -- Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles En línea: http://dx.doi.org/10.1007/978-3-0346-0161-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33660 Topics in Operator Theory : Volume 2: Systems and Mathematical Physics Proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 [documento electrónico] / SpringerLink (Online service) ; Joseph A. Ball ; Bolotnikov, Vladimir ; Rodman, Leiba ; Spitkovsky, Ilya M ; Helton, J. William . - Basel : Birkhäuser Basel, 2010 . - IX, 446 p : online resource. - (Operator Theory: Advances and Applications; 203) .
ISBN : 978-3-0346-0161-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Resumen: This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications Nota de contenido: Exact Solutions to the Nonlinear Schrödinger Equation -- Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation -- Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line -- Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation -- The Gelfand-Levitan Theory for Strings -- On the Uniqueness of a Solution to Anisotropic Maxwell’s Equations -- Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems Constantin Bu?e and Akbar Zada -- Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics -- Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials -- Additive Invariants on Quantum Channels and Regularized Minimum Entropy -- A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators -- On the Eigenvalues of the Lax Operator for the Matrix-valued AKNS System -- An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem -- Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs -- Mapping Properties of Layer Potentials Associated with Higher-Order Elliptic Operators in Lipschitz Domains -- Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective -- Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles En línea: http://dx.doi.org/10.1007/978-3-0346-0161-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33660 Ejemplares
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