株式会社極東書店トップ ＞ 商品一覧 ＞ Orthogonal Matrix-valued Polynomials and Applications : Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University. Softcover reprint of the original 1st ed. 1988.
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Orthogonal Matrix-valued Polynomials and Applications : Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University. Softcover reprint of the original 1st ed. 1988.
・ISBN 978-3-0348-5474-0 paper EUR 49.99
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| 著者・編者 | Gohberg, I., |
|---|---|
| シリーズ | Operator Theory: Advances and Applications |
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2014 |
| ページ数 | 214 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-18084＞ |
解説
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.