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Sprache: Englisch
Verlag: Basel, Boston, Berlin: Birkhäuser Verlag, 1988
ISBN 10: 376432242X ISBN 13: 9783764322427
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.
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Sprache: Englisch
Verlag: Birkhäuser Basel Aug 2014, 2014
ISBN 10: 3034854749 ISBN 13: 9783034854740
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 228 pp. Englisch.
Sprache: Englisch
Verlag: Birkhäuser, Birkhäuser Aug 2014, 2014
ISBN 10: 3034854749 ISBN 13: 9783034854740
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 228 pp. Englisch.