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Interpolation, Schur Functions and Moment Problems II
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Catalogue Information
Field name
Details
Dewey Class
515.724
Title
Interpolation, Schur Functions and Moment Problems II ([Ebook]) / edited by Daniel Alpay, Bernd Kirstein.
Author
Alpay, Daniel
Added Personal Name
Kirstein, Bernd
Other name(s)
SpringerLink (Online service)
Publication
Basel : Springer
, 2012.
Physical Details
V, 300 pages : online resource.
Series
Operator theory : advances and applications
; 226
ISBN
9783034804288
Summary Note
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 details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0428-8
Links to Related Works
Subject References:
Functions of a Complex Variable
.
Functions of complex variables
.
Integral transforms
.
Integral Transforms, Operational Calculus
.
Mathematics
.
Operator Theory
.
Authors:
Alpay, Daniel
.
editor
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Kirstein, Bernd
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Corporate Authors:
SpringerLink (Online service)
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Series:
Operator theory : advances and applications
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Classification:
515.724
.
515.724 (DDC 23)
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