Interpolation Of Linear Operators
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Interpolation Of Linear Operators
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Author : S. G. Krein
language : en
Publisher: American Mathematical Soc.
Release Date : 2002-10-21
Interpolation Of Linear Operators written by S. G. Krein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-21 with Mathematics categories.
Extension And Interpolation Of Linear Operators And Matrix Functions
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Extension And Interpolation Of Linear Operators And Matrix Functions written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
Extension And Interpolation Of Linear Operators And Matrix Functions
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 1990-10-01
Extension And Interpolation Of Linear Operators And Matrix Functions written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-01 with Science categories.
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, . . .
Interpolation Of Operators
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Author : Colin Bennett
language : en
Publisher: Academic Press
Release Date : 1988-04-01
Interpolation Of Operators written by Colin Bennett and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-01 with Mathematics categories.
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Time Variant Systems And Interpolation
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Time Variant Systems And Interpolation written by I. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Operator Theory And Interpolation
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Author : Hari Bercovic
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Operator Theory And Interpolation written by Hari Bercovic and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.
Linear Operators And Linear Systems
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Author : Jonathan R. Partington
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-15
Linear Operators And Linear Systems written by Jonathan R. Partington and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-15 with Mathematics categories.
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History Of Banach Spaces And Linear Operators
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Author : Albrecht Pietsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31
History Of Banach Spaces And Linear Operators written by Albrecht Pietsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Linear Differential Operators
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Author : Cornelius Lanczos
language : en
Publisher: SIAM
Release Date : 1997-12-01
Linear Differential Operators written by Cornelius Lanczos and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-01 with Mathematics categories.
A straightforward guide to numerical analysis, applied mathematics, or the solution procedures for differential equations.
Nonlinear Commutators In Interpolation Theory
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Author : Nigel J. Kalton
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Nonlinear Commutators In Interpolation Theory written by Nigel J. Kalton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.