Interpolation, Schur Functions and Moment Problems II: 226 (Linear Operators and Linear Systems) - Hardcover

 
9783034804271: Interpolation, Schur Functions and Moment Problems II: 226 (Linear Operators and Linear Systems)
Hardcover
ISBN 10: 303480427X ISBN 13: 9783034804271
Verlag: Birkhäuser, 2012

Inhaltsangabe

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.​

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Von der hinteren Coverseite

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.?

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Verlag
Birkhäuser
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
303480427X
ISBN 13 
9783034804271
Einband
Tapa dura
Anzahl der Seiten
308
Herausgeber
Kirstein Bernd, Alpay Daniel
Kontakt zum Hersteller
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9783034807425: Interpolation, Schur Functions and Moment Problems II: 226 (Linear Operators and Linear Systems)

Vorgestellte Ausgabe

ISBN 10:  3034807422 ISBN 13:  9783034807425
Verlag: Birkhäuser, 2014
Softcover