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The Resource Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource)
Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource)
Resource Information
The item Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book is devoted primarily to topics in interpolation for scalar, matrix and operator valued functions. About half the papers are based on lectures which were delivered at a conference held at Leipzig University in August 1994 to commemorate the 80th anniversary of the birth of Vladimir Petrovich Potapov. The volume also contains the English translation of several important papers relatively unknown in the West, two expository papers written especially for this volume, and historical material based on reminiscences of former colleagues, students and associates of V.P. Potapov. Numerous examples of interpolation problems of the NevanlinnaPick and CarathéodoryFejér type are included as well as moment problems and problems of integral representation in assorted settings. The major themes cover applications of the Potapov method of fundamental matrix inequalities, multiplicative decompositions of Jinner matrix valued functions, the abstract interpolation problem, canonical systems of differential equations and interpolation in spaces with an indefinite metric. This book should appeal to a wide range of readers: mathematicians specializing in pure and applied mathematics and engineers who work in systems theory and control. The book will be of use to graduate students and mathematicians interested in functional analysis
 Language
 eng
 Extent
 1 online resource (xxii, 498 pages).
 Contents

 Vladimir Petrovich Potapov, as remembered by colleagues, friends and former students
 On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc
 On tangential interpolation in reproducing kernel Hilbert modules and applications
 Notes on a NevanlinnaPick interpolation problem for generalized Nevanlinna functions
 The indefinite metric in the Schur interpolation problem for analytic functions, IV
 Bitangential interpolation for upper triangular operators
 Bitangential interpolation for upper triangular operators when the Pick operator is strictly positive
 Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class
 On recovering a multiplicative integral from its modulus
 On Schur functions and Szegö orthogonal polynomials
 Hilbert spaces of entire functions as a J theory subject
 On transformations of Potapov's fundamental matrix inequality
 An abstract interpolation problem and the extension theory of isometric operators
 On the theory of matrixvalued functions belonging to the Smirnov class
 Integral representation of function of class Ka
 On the theory of entire matrixfunctions of exponential type
 Analogs of Nehari and Sarason theorems for characterautomorphic functions and some related questions
 The BlaschkePotapov factorization theorem and the theory of nonselfadjoint operators
 Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of Jinner functions
 On a criterion of positive definiteness
 Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case)
 WeylTitchmarsh functions of the canonical periodical system of differential equations
 On boundary values of functions regular in a disk
 Isbn
 9783034889445
 Label
 Topics in Interpolation Theory
 Title
 Topics in Interpolation Theory
 Statement of responsibility
 edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein
 Language
 eng
 Summary
 This book is devoted primarily to topics in interpolation for scalar, matrix and operator valued functions. About half the papers are based on lectures which were delivered at a conference held at Leipzig University in August 1994 to commemorate the 80th anniversary of the birth of Vladimir Petrovich Potapov. The volume also contains the English translation of several important papers relatively unknown in the West, two expository papers written especially for this volume, and historical material based on reminiscences of former colleagues, students and associates of V.P. Potapov. Numerous examples of interpolation problems of the NevanlinnaPick and CarathéodoryFejér type are included as well as moment problems and problems of integral representation in assorted settings. The major themes cover applications of the Potapov method of fundamental matrix inequalities, multiplicative decompositions of Jinner matrix valued functions, the abstract interpolation problem, canonical systems of differential equations and interpolation in spaces with an indefinite metric. This book should appeal to a wide range of readers: mathematicians specializing in pure and applied mathematics and engineers who work in systems theory and control. The book will be of use to graduate students and mathematicians interested in functional analysis
 Cataloging source
 AU@
 http://library.link/vocab/creatorDate
 1938
 http://library.link/vocab/creatorName
 Dym, H.
 Dewey number
 510
 Index
 no index present
 LC call number
 QA1939
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Katsnelson, V
 Fritzsche, B
 Kirstein, B
 Series statement
 Operator Theory Advances and Applications
 Series volume
 95
 http://library.link/vocab/subjectName

 Mathematics
 Mathematics
 Label
 Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vladimir Petrovich Potapov, as remembered by colleagues, friends and former students  On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc  On tangential interpolation in reproducing kernel Hilbert modules and applications  Notes on a NevanlinnaPick interpolation problem for generalized Nevanlinna functions  The indefinite metric in the Schur interpolation problem for analytic functions, IV  Bitangential interpolation for upper triangular operators  Bitangential interpolation for upper triangular operators when the Pick operator is strictly positive  Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class  On recovering a multiplicative integral from its modulus  On Schur functions and Szegö orthogonal polynomials  Hilbert spaces of entire functions as a J theory subject  On transformations of Potapov's fundamental matrix inequality  An abstract interpolation problem and the extension theory of isometric operators  On the theory of matrixvalued functions belonging to the Smirnov class  Integral representation of function of class Ka  On the theory of entire matrixfunctions of exponential type  Analogs of Nehari and Sarason theorems for characterautomorphic functions and some related questions  The BlaschkePotapov factorization theorem and the theory of nonselfadjoint operators  Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of Jinner functions  On a criterion of positive definiteness  Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case)  WeylTitchmarsh functions of the canonical periodical system of differential equations  On boundary values of functions regular in a disk
 Dimensions
 unknown
 Extent
 1 online resource (xxii, 498 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783034889445
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851832863
 (OCoLC)ocn851832863
 Label
 Topics in Interpolation Theory, edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vladimir Petrovich Potapov, as remembered by colleagues, friends and former students  On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc  On tangential interpolation in reproducing kernel Hilbert modules and applications  Notes on a NevanlinnaPick interpolation problem for generalized Nevanlinna functions  The indefinite metric in the Schur interpolation problem for analytic functions, IV  Bitangential interpolation for upper triangular operators  Bitangential interpolation for upper triangular operators when the Pick operator is strictly positive  Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class  On recovering a multiplicative integral from its modulus  On Schur functions and Szegö orthogonal polynomials  Hilbert spaces of entire functions as a J theory subject  On transformations of Potapov's fundamental matrix inequality  An abstract interpolation problem and the extension theory of isometric operators  On the theory of matrixvalued functions belonging to the Smirnov class  Integral representation of function of class Ka  On the theory of entire matrixfunctions of exponential type  Analogs of Nehari and Sarason theorems for characterautomorphic functions and some related questions  The BlaschkePotapov factorization theorem and the theory of nonselfadjoint operators  Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of Jinner functions  On a criterion of positive definiteness  Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case)  WeylTitchmarsh functions of the canonical periodical system of differential equations  On boundary values of functions regular in a disk
 Dimensions
 unknown
 Extent
 1 online resource (xxii, 498 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783034889445
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851832863
 (OCoLC)ocn851832863
Subject
Genre
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