Operator Theory : Advances and Applications - Daniel Alpay

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Operator Theory

Advances and Applications

By: Daniel Alpay (Editor)

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Hardcover | 26 August 2003

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364 Pages

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23.5 x 17.15 x 2.54

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20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Complex Analysis

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Published: 1st November 2012

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Editorial Introduction
Realization of Functions into the Symmetrised Bidisc	p. 1
A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations	p. 39
Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings	p. 77
On Realizations of Rational Matrix Functions of Several Complex Variables II	p. 135
Bergman Projection and Weighted Holomorphic Functions	p. 147
Linear Fractional Transformations, Riccati Equations and Bitangential Interpolation, Revisited	p. 171
A Class of Matrix-valued Schrodinger Operators with Prescribed Finite-band Spectra	p. 213
Laplace Transforms Asymptotics, Bergman Kernels and Composition Operators	p. 255
On the Structure of Self-similar Systems: A Hilbert Space Approach	p. 273
Reproducing Kernels and a Family of Bounded Linear Operators	p. 303
Multipliers in the Reproducing Kernel Hilbert Space, Subnormality and Noncommutative Complex Analysis	p. 313
Existence of Unitary Dilations as a Moment Problem	p. 333
Table of Contents provided by Blackwell. All Rights Reserved.

Operator Theory

Advances and Applications

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Hardcover

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