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Interpolation, Schur Functions and Moment Problems. Linear Operators and Linear Systems

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Interpolation, Schur Functions and Moment Problems. Linear Operators and Linear Systems 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.

About This Edition

ISBN: 9783764375461
Publication date:
Author: Daniel Alpay, Israel Gohberg
Publisher: Birkhauser an imprint of Birkhäuser Basel
Format: Hardback
Pagination: 304 pages
Series: Operator Theory: Advances and Applications
Genres: Functional analysis and transforms
Cybernetics and systems theory

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