Interpolation, Schur Functions and Moment Problems
Language: English
Published by Birkhauser Verlag AG, 2006
Series: Book 11 of 132 - Operator Theory: Advances and Applications
- Hardcover
- New
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Under "Schur analysis", one encounters 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, and others. This volume presents the analysis of Schur and Caratheodory functions and the solutions of problems for these classes. Editor(s): Alpay, Daniel; Gohberg, Prof. Israel. Series: Operator Theory: Advances and Applications. Num Pages: 315 pages, biography. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 21. Weight in Grams: 685. . 2006. Hardback. . . . . Books ship from the US and Ireland.
Seller Inventory # V9783764375461
- Title
- Interpolation, Schur Functions and Moment Problems
- Author
- . Ed(s): Alpay, Daniel; Gohberg, Prof. Israel
- Publisher
- Birkhauser Verlag AG
- Publication year
- 2006
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3764375469
- ISBN 13
- 9783764375461
- Series
- Book 11 of 132: Operator Theory: Advances and Applications
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.
"Synopsis" may belong to another edition of this title.
From the Back 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 Carathéodory functions.
This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.
"About the title" may belong to another edition of this title.
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