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The Schur Algorithm, Reproducing Kernel Spaces and System Theory

Daniel Alpay




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 | #7779753 in Books |  2001-08-01 | Original language:English |  9.50 x6.75 x.50l,.63 | Binding: Mass Market Paperback | 150 pages

||3 of 3 people found the following review helpful.| An Impressive Survey|By John G. Aiken|This book is an impressive survey of recent research in the applications of Reproducing Kernel Hilbert Spaces to complex analytic function theory, and, in particular to the study of functions which are analytic on the open unit disk in the complex plane.

This book is accessible to anybody who has mastered the essentials of comple

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 oth...

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