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Interpolation, Schur Functions and Moment Problems
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Interpolation, Schur Functions and Moment Problems Hardback - 2006

by Daniel Alpay (Editor); Israel Gohberg (Editor)

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From the publisher

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 Carathodory functions and to the solutions of problems for these classes.

From the rear 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 Carathodory functions.

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

Details

  • Title Interpolation, Schur Functions and Moment Problems
  • Author Daniel Alpay (Editor); Israel Gohberg (Editor)
  • Binding Hardback
  • Edition 1st
  • Pages 304
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser, Basel
  • Publication date 2006-03-17
  • Features Bibliography, Table of Contents
  • ISBN 9783764375461 / 3764375469
  • Weight 1.51 lbs (0.68 kg)
  • Dimensions 9.32 x 6.55 x 0.81 in (23.67 x 16.64 x 2.06 cm)
  • Category Mathematics
  • Library of Congress Catalogue Number 2006041790
  • Dewey Decimal Code 515.724

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Interpolation, Schur Functions And Moment Problems (operator Theory: Advances And Applications /...
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Interpolation, Schur Functions And Moment Problems (operator Theory: Advances And Applications / Linear Operators And Linear Systems)

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Interpolation, Schur Functions And Moment Problems (operator Theory: Advances And Applications /...
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Interpolation, Schur Functions And Moment Problems (operator Theory: Advances And Applications / Linear Operators And Linear Systems)

by Daniel Alpay (Editor), Israel Gohberg (Editor),

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Hardcover
ISBN 10 / ISBN 13
9783764375461 / 3764375469
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