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Interpolation Schur Functions And Moment Problems


Interpolation Schur Functions And Moment Problems
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Interpolation Schur Functions And Moment Problems


Interpolation Schur Functions And Moment Problems
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2009-09-03

Interpolation Schur Functions And Moment Problems written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.


Schur analysis originated with an 1917 article which 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, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.



Interpolation Schur Functions And Moment Problems


Interpolation Schur Functions And Moment Problems
DOWNLOAD
Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-22

Interpolation Schur Functions And Moment Problems written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-22 with Mathematics categories.


Schur analysis originated with an 1917 article which 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, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.



Interpolation Schur Functions And Moment Problems


Interpolation Schur Functions And Moment Problems
DOWNLOAD
Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2006-03-17

Interpolation Schur Functions And Moment Problems written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-17 with Mathematics categories.


Schur analysis originated with an 1917 article which 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, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.



Interpolation Schur Functions And Moment Problems Ii


Interpolation Schur Functions And Moment Problems Ii
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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-25

Interpolation Schur Functions And Moment Problems Ii written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.


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.​



Interpolation Schur Functions And Moment Problems Ii


Interpolation Schur Functions And Moment Problems Ii
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2012-07-24

Interpolation Schur Functions And Moment Problems Ii written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.


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.​



Recent Advances In Inverse Scattering Schur Analysis And Stochastic Processes


Recent Advances In Inverse Scattering Schur Analysis And Stochastic Processes
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2015-04-30

Recent Advances In Inverse Scattering Schur Analysis And Stochastic Processes written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-30 with Mathematics categories.


The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.



Complex Function Theory Operator Theory Schur Analysis And Systems Theory


Complex Function Theory Operator Theory Schur Analysis And Systems Theory
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Author : Daniel Alpay
language : en
Publisher: Springer Nature
Release Date : 2020-09-19

Complex Function Theory Operator Theory Schur Analysis And Systems Theory written by Daniel Alpay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-19 with Mathematics categories.


This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).



Interpolation Schur Functions And Moment Problems Ii


Interpolation Schur Functions And Moment Problems Ii
DOWNLOAD
Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2012-07-24

Interpolation Schur Functions And Moment Problems Ii written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.


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.​



System Theory The Schur Algorithm And Multidimensional Analysis


System Theory The Schur Algorithm And Multidimensional Analysis
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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-28

System Theory The Schur Algorithm And Multidimensional Analysis written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-28 with Mathematics categories.


This volume contains six peer-refereed articles written on the occasion of the workshop Operator theory, system theory and scattering theory: multidimensional generalizations and related topics, held at the Department of Mathematics of the Ben-Gurion University of the Negev in June, 2005. The book will interest a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.



Indefinite Inner Product Spaces Schur Analysis And Differential Equations


Indefinite Inner Product Spaces Schur Analysis And Differential Equations
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2018-01-30

Indefinite Inner Product Spaces Schur Analysis And Differential Equations written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.


This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.