Orthogonal Matrix-valued Polynomials and Applications

Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University

By:

I. Gohberg

Format:

Paperback / softback

Series:

Operator Theory: Advances and Applications

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Description

This paper is a largely expository account of the theory of p x p matrix polyno mials associated with Hermitian block Toeplitz matrices and some related problems of interpolation and extension. Perhaps the main novelty is the use of reproducing kernel Pontryagin spaces to develop parts of the theory in what hopefully the reader will regard as a reasonably lucid way. The topics under discussion are presented in a series of short sections, the headings of which give a pretty good idea of the overall contents of the paper. The theory is a rich one and the present paper in spite of its length is far from complete. The author hopes to fill in some of the gaps in future publications. The story begins with a given sequence h_n" ... , hn of p x p matrices with h-i = hj for j = 0, ... , n. We let k = O, ... ,n, (1.1) denote the Hermitian block Toeplitz matrix based on ho, ... , hk and shall denote its 1 inverse H k by (k)] k [ r = .. k = O, ... ,n, (1.2) k II} . '-0 ' I- whenever Hk is invertible.

Release date NZ

August 7th, 2013

Author

I. Gohberg

Series

Operator Theory: Advances and Applications

Pages

214

Edition

Softcover reprint of the original 1st ed. 1988

Audience

Professional & Vocational

Illustrations

IX, 214 p.

Dimensions

170x244x12

ISBN-13

9783034854740

Product ID

22669439

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