The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices.
This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.?
| ISBN: | 9783034807425 |
| Publication date: | 9th August 2014 |
| Author: | Daniel Alpay, Bernd Kirstein |
| Publisher: | Birkhauser an imprint of Springer Basel |
| Format: | Paperback |
| Pagination: | 302 pages |
| Series: | Operator Theory: Advances and Applications |
| Genres: |
Functional analysis and transforms Integral calculus and equations Complex analysis, complex variables |
The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences.
Interpolation, Schur Functions and Moment Problems II. Linear Operators and Linear Systems features in the following genres: Functional analysis and transforms, Integral calculus and equations, Complex analysis, complex variables
Paperback. Not Available.
Interpolation, Schur Functions and Moment Problems II. Linear Operators and Linear Systems was written by Daniel Alpay, Bernd Kirstein and published by Birkhauser an imprint of Springer Basel
Interpolation, Schur Functions and Moment Problems II. Linear Operators and Linear Systems has 302 pages
Yes it is part of Operator Theory: Advances and Applications series