Extension and Interpolation of Linear Operators and Matrix Functions

Language: English

Published by Springer, Berlin, Birkhäuser Basel, Birkhäuser Okt 1990, 1990

3764325305 / 9783764325305

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -The classicallossless inverse scattering (LIS) problem of network theory is to find all possible representations of a given Schur function s(z) (i. e. , a function which is analytic and contractive in the open unit disc D) in terms of an appropriately restricted class of linear fractional transformations. These linear fractional transformations corre spond to lossless, causal, time-invariant two port networks and from this point of view, s(z) may be interpreted as the input transfer function of such a network with a suitable load. More precisely, the sought for representation is of the form s(Z) = -{ -A(Z)SL(Z) + B(z)}{ -C(Z)SL(Z) + D(z)} -1 , (1. 1) where 'the load' SL(Z) is again a Schur function and _ [A(Z) B(Z)] 0( ) (1. 2) Z - C(z) D(z) is a 2 x 2 J inner function with respect to the signature matrix This means that 0 is meromorphic in D and 0(z) J0(z) ::5 J (1. 3) for every point zED at which 0 is analytic with equality at almost every point on the boundary Izi = 1. A more general formulation starts with an admissible matrix valued function X(z) = [a(z) b(z)] which is one with entries a(z) and b(z) which are analytic and bounded in D and in addition are subject to the constraint that, for every n, the n x n matrix with ij entry equal to X(Zi)J X(Zj ) i,j=l, . . . 305 pp. Englisch.…

Seller Inventory # 9783764325305

Title
Extension and Interpolation of Linear Operators and Matrix Functions
Author
Israel C. Gohberg
Publisher
Springer, Berlin, Birkhäuser Basel, Birkhäuser Okt 1990
Publication year
1990
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3764325305
ISBN 13
9783764325305
Item weight
760 grams
Dimensions
238x170x20 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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