Orthogonal Matrix-valued Polynomials and Applications: Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University: v. 34 (Operator Theory: Advances and Applications) - Hardcover

Gohberg, Prof. Israel

 
9783764322427: Orthogonal Matrix-valued Polynomials and Applications: Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University: v. 34 (Operator Theory: Advances and Applications)
Hardcover
ISBN 10: 376432242X ISBN 13: 9783764322427
Verlag: Birkhauser Verlag AG, 1988

Inhaltsangabe

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.

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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhauser Verlag AG
Erscheinungsdatum
1988
Sprache
Englisch
ISBN 10 
376432242X
ISBN 13 
9783764322427
Einband
Tapa dura
Anzahl der Seiten
214
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9783034854740: Orthogonal Matrix-valued Polynomials and Applications: Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University: 34 (Operator Theory: Advances and Applications)

Vorgestellte Ausgabe

ISBN 10:  3034854749 ISBN 13:  9783034854740
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Softcover