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)

Label
Topics in Interpolation Theory
Title
Topics in Interpolation Theory
Statement of responsibility
edited by H. Dym, V. Katsnelson, B. Fritzsche, B. Kirstein
Creator
Contributor
Subject
Genre
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 Nevanlinna-Pick and Carathéodory-Fejér 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 J-inner 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
Member of
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
QA1-939
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)
Link
http://dx.doi.org/10.1007/978-3-0348-8944-5
Instantiates
Publication
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 Nevanlinna-Pick 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 matrix-valued functions belonging to the Smirnov class -- Integral representation of function of class Ka -- On the theory of entire matrix-functions of exponential type -- Analogs of Nehari and Sarason theorems for character-automorphic functions and some related questions -- The Blaschke-Potapov factorization theorem and the theory of nonselfadjoint operators -- Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner functions -- On a criterion of positive definiteness -- Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case) -- Weyl-Titchmarsh 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)
Link
http://dx.doi.org/10.1007/978-3-0348-8944-5
Publication
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 Nevanlinna-Pick 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 matrix-valued functions belonging to the Smirnov class -- Integral representation of function of class Ka -- On the theory of entire matrix-functions of exponential type -- Analogs of Nehari and Sarason theorems for character-automorphic functions and some related questions -- The Blaschke-Potapov factorization theorem and the theory of nonselfadjoint operators -- Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner functions -- On a criterion of positive definiteness -- Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case) -- Weyl-Titchmarsh 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

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