On Hilbert modules of rational matrix-valued functions and related inverse problems

被引：2

作者：

Fritzsche, B

Kirstein, B

Lasarow, A

机构：

[1] Katholieke Univ Leuven, Dept Comp Wetenschappen, Afd Num Anal Toeg Wiskunde, B-3001 Heverlee, Belgium

[2] Univ Leipzig, Math Inst, Fak Math & Informat, D-04109 Leipzig, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 179卷 / 1-2期

关键词：

nonnegative Hermitian Borel measures on the unit circle; rational moment problem; reproducing kernels; orthogonal rational matrix-valued functions;

D O I：

10.1016/j.cam.2004.09.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a moment problem for rational matrix-valued functions. In particular, we will characterize the case that there is a unique solution. A second main theme is to handle some inverse problems for rational matrix-valued functions. Hereby, we will essentially use several representation formulas for reproducing kernels of the underlying Hilbert modules of rational matrix-valued functions. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：215 / 248

页数：34

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