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Titlebook: Reproducing Kernel Spaces and Applications; Daniel Alpay Book 2003 Springer Basel AG 2003 Complex analysis.Functional analysis.Hilbert spa

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发表于 2025-3-21 16:14:19 | 显示全部楼层 |阅读模式
书目名称Reproducing Kernel Spaces and Applications
编辑Daniel Alpay
视频video
概述Special selection of invited original papers collected from a leading expert in the field.Of importance for many fields inside and outside mathematics
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Reproducing Kernel Spaces and Applications;  Daniel Alpay Book 2003 Springer Basel AG 2003 Complex analysis.Functional analysis.Hilbert spa
描述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.
出版日期Book 2003
关键词Complex analysis; Functional analysis; Hilbert space; Operator theory; PDEs; partial differential equatio
版次1
doihttps://doi.org/10.1007/978-3-0348-8077-0
isbn_softcover978-3-0348-9430-2
isbn_ebook978-3-0348-8077-0Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 2003
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https://doi.org/10.1007/978-3-0348-8077-0Complex analysis; Functional analysis; Hilbert space; Operator theory; PDEs; partial differential equatio
发表于 2025-3-22 09:41:08 | 显示全部楼层
On Realizations of Rational Matrix Functions of Several Complex Variables II,0.. We use notations and definitions from the first part [Bes] of this work. If M is a matrix (whose entries are complex numbers), then.’ is the transpose matrix, and.* is the Hermitian conjugate matrix. . denotes the direct product of n copies of the complex plane .. denotes a point of .
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Laplace Transform Asymptotics, Bergman Kernels and Composition Operators,We determine the asymptotics at infinity and zero of the Laplace transforms of fast weights on a half-line. This yields the exact growth rate of the norm of the kernel function in a weighted Bergman space associated with a rotation-invariant fast weight on the unit disk. Applications to composition operators on such spaces are discussed.
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Existence of Unitary Dilations as a Moment Problem,A new approach to the existence of unitary dilations for tuples of commuting Hilbert space contractions, via moment problems on the torus, is initiated.
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Daniel AlpaySpecial selection of invited original papers collected from a leading expert in the field.Of importance for many fields inside and outside mathematics
发表于 2025-3-23 07:02:18 | 显示全部楼层
Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings,n 1950. We explore here the basic ideas and some applications of an extension of this idea to the setting of Hilbert spaces whose elements are formal power series in possibly noncommuting indeterminates.
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