Interpolation, Schur Functions and Moment Problems II (Hardcover, 2012 Ed.)

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 Caratheodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Linear Operators and Linear Systems, 226
Release date:	July 2012
First published:	2012
Editors:	Daniel Alpay • Bernd Kirstein
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Hardcover
Pages:	302
Edition:	2012 Ed.
ISBN-13:	978-3-03-480427-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	3-03-480427-X
Barcode:	9783034804271

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