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Interpolation Schur Functions and Moment Problems 1st Edition by Daniel Alpay, Israel Gohberg 9783764375478 3764375477

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Interpolation Schur Functions and Moment Problems 1st Edition Daniel Alpay Digital Instant Download

Author(s): Daniel Alpay, Israel Gohberg
ISBN(s): 9783764375461, 3764375469
Edition: 1
File Details: PDF, 3.22 MB
Year: 2006
Language: english
SKU: EB-1336130 Category: Tags: ,

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Product details:

ISBN 10: 3764375477
ISBN 13: 9783764375478
Author: Daniel Alpay, Israel Gohberg

Schur analysis originated with an 1917 article which 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, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Interpolation Schur Functions and Moment Problems 1st Table of contents:

  1. Front Matter – Pages i-xi

  2. Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions – Pages 1-29

  3. Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems – Pages 31-65

  4. Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions – Pages 67-119

  5. A Truncated Matricial Moment Problem on a Finite Interval – Pages 121-173

  6. Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions – Pages 175-250

  7. The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases – Pages 251-290

  8. A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators – Pages 291-302

  9. Back Matter – Pages 303-303

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Tags: Schur Functions, Moment Problems, Daniel Alpay, Israel Gohberg