Overview
- Second volume of the subseries Linear Operators and Linear Systems
- Contains seven essays on various aspects of Schur analysis
Part of the book series: Operator Theory: Advances and Applications (OT, volume 165)
Part of the book sub series: Linear Operators and Linear Systems (LOLS)
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Table of contents(7 chapters)
About this book
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.
Editors and Affiliations
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Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel
Daniel Alpay
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School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel
Israel Gohberg
Bibliographic Information
Book Title: Interpolation, Schur Functions and Moment Problems
Editors: Daniel Alpay, Israel Gohberg
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/3-7643-7547-7
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7546-1
eBook ISBN: 978-3-7643-7547-8
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XI, 304
Topics: Operator Theory, Systems Theory, Control, Functional Analysis