Topics in Analysis and Operator Theory. The Gohberg Anniversary Collection, Band 2.

Dym, H., S. Goldberg M. A. Kaashoek a. o.:

ISBN 10: 3764323086 ISBN 13: 9783764323080

Editorial: Basel, Birkhäuser, 1989

Idioma: Ingl�s

Condici�n: Usado - Excelente Encuadernaci�n de tapa dura

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Descripci�n

546 Seiten. Einband leicht berieben. Ansonsten sehr gut erhalten. 3764323086 Sprache: Englisch Gewicht in Gramm: 1200.

N� de ref. del art�culo 95476

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Detalles bibliogr�ficos

T�tulo

Topics in Analysis and Operator Theory. The Gohberg Anniversary Collection, Band 2.

Editor

Basel, Birkh�user

Fecha de publicaci�n

1989

Idioma

Ingl�s

ISBN 10

3764323086

ISBN 13

9783764323080

Encuadernaci�n

Hardcover/Pappeinband

Estado

Sehr gut

Cat�logos de vendedores

Mathematik, Physik, Astronomie

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Sinopsis

In this article we shall use two special classes of reproducing kernel Hilbert spaces (which originate in the work of de Branges [dB) and de Branges-Rovnyak [dBRl), respectively) to solve matrix versions of a number of classical interpolation problems. Enroute we shall reinterpret de Branges’ characterization of the first of these spaces, when it is finite dimensional, in terms of matrix equations of the Liapunov and Stein type and shall subsequently draw some general conclusions on rational m x m matrix valued functions which are "J unitary" a.e. on either the circle or the line. We shall also make some connections with the notation of displacement rank which has been introduced and extensively studied by Kailath and a number of his colleagues as well as the one used by Heinig and Rost [HR). The first of the two classes of spaces alluded to above is distinguished by a reproducing kernel of the special form K (>.) = J - U(>’)JU(w)* (Ll) w Pw(>’) , in which J is a constant m x m signature matrix and U is an m x m J inner matrix valued function over ~+, where ~+ is equal to either the open unit disc ID or the open upper half plane (1)+ and Pw(>’) is defined in the table below.

Rese�a del editor

In this article we shall use two special classes of reproducing kernel Hilbert spaces (which originate in the work of de Branges [dB) and de Branges-Rovnyak [dBRl), respectively) to solve matrix versions of a number of classical interpolation problems. Enroute we shall reinterpret de Branges' characterization of the first of these spaces, when it is finite dimensional, in terms of matrix equations of the Liapunov and Stein type and shall subsequently draw some general conclusions on rational m x m matrix valued functions which are "J unitary" a.e. on either the circle or the line. We shall also make some connections with the notation of displacement rank which has been introduced and extensively studied by Kailath and a number of his colleagues as well as the one used by Heinig and Rost [HR). The first of the two classes of spaces alluded to above is distinguished by a reproducing kernel of the special form K (>.) = J - U(>')JU(w)* (Ll) w Pw(>') , in which J is a constant m x m signature matrix and U is an m x m J inner matrix valued function over ~+, where ~+ is equal to either the open unit disc ID or the open upper half plane (1)+ and Pw(>') is defined in the table below.

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Montag-Samstag: 10:00-20:00 Uhr Abk�rzungen: Abb. Abbildung(en) Aufl. Auflage Bll Blatt ber. berieben best. besto�en brosch Broschur Einbd Einband Ex. Exemplar fl. fleckig hrsg. herausgeben ill. Illustriert Ldr. Leder Ln. Leinen O Original, Ort o.J. ohne Jahr U Umschlag Pp Pappe, Pappband St. Stempel T. Titel Vs. Vorsatz Formate: 12� = 10-16 cm; 8� = 16-25 cm; 4 = 25-35 cm; 2 = Folio. Wenn nicht anders vermerkt, so handelt es sich immer um 8�.

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