ENGLISH

Interpolation, Schur Functions and Moment Problems

By Israel Gohberg , Daniel Alpay

Book information

Publisher
Birkhäuser Basel
Year
2006
ISBN
3-7643-7546-9, 3-7643-7547-7, 978-3-7643-7546-1
Open Library ID
OL9457626M
Language
english
Format
PDF
Filesize
3 MB (2879961 bytes)
Series
Operator Theory: Advances and Applications / Linear Operators and Linear Systems
Edition
1
Pages
302\309
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

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.

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