Interpolation, Schur Functions and Moment Problems

Daniel Alpay

ISBN 10: 3764375469 / ISBN 13: 9783764375461

Published by Springer, Basel, Birkhäuser Basel Mrz 2006, 2006

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 304 pp. Englisch.

Seller Inventory # 9783764375461

Bibliographic Details

• Title: Interpolation, Schur Functions and Moment Problems
• Publisher: Springer, Basel, Birkhäuser Basel Mrz 2006
• Publication Date: 2006
• Language: English
• ISBN 10: 3764375469
• ISBN 13: 9783764375461
• Binding: Buch
• Condition: Neu
• Dimensions: 244W x 195H x 37D millimeters 244 millimeters width by 195 millimeters height by 37 millimeters depth
• Weight: 694 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.