
Interpolation, Schur Functions and Moment Problems
Birkhäuser (Publisher)
Published on 17. March 2006
Book
Hardback
XI, 304 pages
978-3-7643-7546-1 (ISBN)
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.
More details
Series
Edition
2006 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
College/higher education
Research
Illustrations
XI, 304 p.
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 23 mm
Weight
736 gr
ISBN-13
978-3-7643-7546-1 (9783764375461)
DOI
10.1007/3-7643-7547-7
Schweitzer Classification
Other editions
Additional editions

Daniel Alpay | Israel Gohberg
Interpolation, Schur Functions and Moment Problems
E-Book
06/2006
1st Edition
Birkhäuser
€96.29
Available for download
Content
Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions.- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems.- Boundary Nevanlinna-Pick Interpolation Problems for Generalized Schur Functions.- A Truncated Matricial Moment Problem on a Finite Interval.- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions.- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases.- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators.