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The Schur Algorithm, Reproducing Kernel Spaces and System Theory (Paperback) Loot Price: R1,270
Discovery Miles 12 700
The Schur Algorithm, Reproducing Kernel Spaces and System Theory (Paperback): Daniel Alpay
The Schur Algorithm, Reproducing Kernel Spaces and System Theory (Paperback): Daniel Alpay

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The Schur Algorithm, Reproducing Kernel Spaces and System Theory (Paperback)

Daniel Alpay

Series: SMF/AMS Texts & Monographs, No. 5

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Loot Price R1,270 Discovery Miles 12 700 | Repayment Terms: R118 pm x 12*

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The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and a corresponding algorithm. These generalized Schur functions have important applications to the theory of linear operators, to signal processing and control theory, and to other areas of engineering.In this book, Alpay looks at matrix-valued Schur functions and their applications from the unifying point of view of spaces with reproducing kernels. This approach is used here to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. The inverse scattering problem plays a key role in the exposition. The point of view also allows for a natural way to tackle more general cases, such as nonstationary systems, non-positive metrics, and pairs of commuting nonself-adjoint operators. This is the English translation of a volume originally published in French by the Societe Mathematique de France. This title was translated by Stephen S. Wilson.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: SMF/AMS Texts & Monographs, No. 5
Release date: July 2001
Authors: Daniel Alpay
Dimensions: 230 x 177 x 9mm (L x W x T)
Format: Paperback
Pages: 150
ISBN-13: 978-0-8218-2155-8
Barcode: 9780821821558
Subtitles: French
Categories: Books > Computing & IT > General theory of computing > Systems analysis & design
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Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN: 0-8218-2155-5

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