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Autor Daniel Alpay |
Documentos disponibles escritos por este autor (9)
Refinar búsquedaCharacteristic Functions, Scattering Functions and Transfer Functions / SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov (2010)
Título : Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 197 Número de páginas: VIII, 392 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0183-2 Idioma : Inglés (eng) Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Differential-difference Equations in Entire Functions -- Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator -- Bi-Isometries and Commutant Lifting -- The One-sided Ergodic Hilbert Transform of Normal Contractions -- Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations -- Pick Matrices for Schur Multipliers -- The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems -- Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms -- The Schur Algorithm in Terms of System Realizations -- On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences -- A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure -- Integral Equations in the Theory of Levy Processes -- ?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions En línea: http://dx.doi.org/10.1007/978-3-0346-0183-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33665 Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov . - Basel : Birkhäuser Basel, 2010 . - VIII, 392 p : online resource. - (Operator Theory: Advances and Applications; 197) .
ISBN : 978-3-0346-0183-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Operator theory Theory Clasificación: 51 Matemáticas Nota de contenido: Differential-difference Equations in Entire Functions -- Inverse Stieltjes-like Functions and Inverse Problems for Systems with Schrödinger Operator -- Bi-Isometries and Commutant Lifting -- The One-sided Ergodic Hilbert Transform of Normal Contractions -- Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations -- Pick Matrices for Schur Multipliers -- The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems -- Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms -- The Schur Algorithm in Terms of System Realizations -- On Some Interrelations Between J-Potapov Functions and J-Potapov Sequences -- A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure -- Integral Equations in the Theory of Levy Processes -- ?-spread of Sets in Metric Spaces and Critical Values of Smooth Functions En línea: http://dx.doi.org/10.1007/978-3-0346-0183-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33665 Ejemplares
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Título : A Complex Analysis Problem Book Tipo de documento: documento electrónico Autores: Daniel Alpay ; SpringerLink (Online service) Editorial: Basel : Springer Basel Fecha de publicación: 2011 Número de páginas: X, 526p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0078-5 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables a Complex Variable Clasificación: 51 Matemáticas Resumen: This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed Nota de contenido: Prologue -- I Complex numbers -- 1 Complex numbers: algebra -- 2 Complex numbers: geometry -- 3 Complex numbers and analysis -- 4. Remarks and generalizations: quaternions, etc -- II Functions of a complex variable -- 5 C-differentiable functions -- 6 Cauchy's theorem -- 7 First applications -- 8 Laurent expansions and applications -- 9 Computations of definite integrals -- 10 Harmonic functions -- 11 Conformal mappings.-III Complements -- 12 Some useful theorems -- 13 Some topology -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0078-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33257 A Complex Analysis Problem Book [documento electrónico] / Daniel Alpay ; SpringerLink (Online service) . - Basel : Springer Basel, 2011 . - X, 526p : online resource.
ISBN : 978-3-0348-0078-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables a Complex Variable Clasificación: 51 Matemáticas Resumen: This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed Nota de contenido: Prologue -- I Complex numbers -- 1 Complex numbers: algebra -- 2 Complex numbers: geometry -- 3 Complex numbers and analysis -- 4. Remarks and generalizations: quaternions, etc -- II Functions of a complex variable -- 5 C-differentiable functions -- 6 Cauchy's theorem -- 7 First applications -- 8 Laurent expansions and applications -- 9 Computations of definite integrals -- 10 Harmonic functions -- 11 Conformal mappings.-III Complements -- 12 Some useful theorems -- 13 Some topology -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0078-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33257 Ejemplares
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Título : Interpolation, Schur Functions and Moment Problems Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Israel Gohberg Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2006 Colección: Operator Theory: Advances and Applications, Linear Operators and Linear Systems num. 165 Número de páginas: XI, 304 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7547-8 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory System Theory Systems Theory, Control Analysis Clasificación: 51 Matemáticas Resumen: Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes Nota de contenido: Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems -- Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions -- A Truncated Matricial Moment Problem on a Finite Interval -- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions -- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators En línea: http://dx.doi.org/10.1007/3-7643-7547-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35019 Interpolation, Schur Functions and Moment Problems [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Israel Gohberg . - Basel : Birkhäuser Basel, 2006 . - XI, 304 p : online resource. - (Operator Theory: Advances and Applications, Linear Operators and Linear Systems; 165) .
ISBN : 978-3-7643-7547-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory System Theory Systems Theory, Control Analysis Clasificación: 51 Matemáticas Resumen: Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes Nota de contenido: Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems -- Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions -- A Truncated Matricial Moment Problem on a Finite Interval -- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions -- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators En línea: http://dx.doi.org/10.1007/3-7643-7547-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35019 Ejemplares
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Título : Interpolation, Schur Functions and Moment Problems II Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Bernd Kirstein Editorial: Basel : Springer Basel Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Operator Theory: Advances and Applications, ISSN 0255-0156 num. 226 Número de páginas: VI, 302 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0428-8 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Integral transforms Operational calculus Operator theory Theory Transforms, Calculus a Complex Variable Clasificación: 51 Matemáticas Resumen: The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle En línea: http://dx.doi.org/10.1007/978-3-0348-0428-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32892 Interpolation, Schur Functions and Moment Problems II [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Bernd Kirstein . - Basel : Springer Basel : Imprint: Birkhäuser, 2012 . - VI, 302 p : online resource. - (Operator Theory: Advances and Applications, ISSN 0255-0156; 226) .
ISBN : 978-3-0348-0428-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Integral transforms Operational calculus Operator theory Theory Transforms, Calculus a Complex Variable Clasificación: 51 Matemáticas Resumen: The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle En línea: http://dx.doi.org/10.1007/978-3-0348-0428-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32892 Ejemplares
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Título : Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Colección: Operator Theory: Advances and Applications num. 157 Número de páginas: XVI, 312 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7303-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Operator theory Differential equations Theory a Complex Variable Ordinary Equations Clasificación: 51 Matemáticas Resumen: Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call "multidimensional operator theory", are topics of active and intensive research. The present volume contains a selection of papers in multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists Nota de contenido: Functional Models for Representations of the Cuntz Algebra -- Relations on Non-commutative Variables and Associated Orthogonal Polynomials -- Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis -- Operator Method for Solution of PDEs Based on Their Symmetries -- On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes -- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II -- Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces -- Hardy Algebras Associated with W*-Correspondences (Point Evaluation and Schur Class Functions) -- Notes on Generalized Lemniscates -- One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk -- Favard’s Theorem Modulo an Ideal En línea: http://dx.doi.org/10.1007/b137040 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35319 Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations [documento electrónico] / SpringerLink (Online service) ; Daniel Alpay ; Victor Vinnikov . - Basel : Birkhäuser Basel, 2005 . - XVI, 312 p : online resource. - (Operator Theory: Advances and Applications; 157) .
ISBN : 978-3-7643-7303-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Operator theory Differential equations Theory a Complex Variable Ordinary Equations Clasificación: 51 Matemáticas Resumen: Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call "multidimensional operator theory", are topics of active and intensive research. The present volume contains a selection of papers in multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists Nota de contenido: Functional Models for Representations of the Cuntz Algebra -- Relations on Non-commutative Variables and Associated Orthogonal Polynomials -- Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis -- Operator Method for Solution of PDEs Based on Their Symmetries -- On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes -- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II -- Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces -- Hardy Algebras Associated with W*-Correspondences (Point Evaluation and Schur Class Functions) -- Notes on Generalized Lemniscates -- One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk -- Favard’s Theorem Modulo an Ideal En línea: http://dx.doi.org/10.1007/b137040 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35319 Ejemplares
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