Interpolation, Schur Functions and Moment Problems

Israel Gohberg

ISBN 10: 3764375469 / ISBN 13: 9783764375461

Published by Birkhäuser Basel, Birkhäuser Basel, 2006

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word 'Schur analysis' one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Seller Inventory # 9783764375461

Bibliographic Details

• Title: Interpolation, Schur Functions and Moment Problems
• Publisher: Birkhäuser Basel, Birkhäuser Basel
• Publication Date: 2006
• Language: English
• ISBN 10: 3764375469
• ISBN 13: 9783764375461
• Binding: Buch
• Condition: Neu
• Dimensions: 250W x 175H x 23D millimeters 250 millimeters width by 175 millimeters height by 23 millimeters depth
• Weight: 736 grams

About this title

Synopsis

Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others.

This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

From the Back Cover

Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions.

This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.