Rational functions associated with the white noise space and related topics

Daniel Alpay; David Levanony

doi:10.1007/s11118-008-9094-4

Rational functions associated with the white noise space and related topics

Daniel Alpay, David Levanony

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.

Original language	English
Pages (from-to)	195-220
Number of pages	26
Journal	Potential Analysis
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s11118-008-9094-4
State	Published - 1 Sep 2008

Keywords

Gleason's problem
Hida's white noise space
Hyperholomorphic functions
Rational functions
Wick product

ASJC Scopus subject areas

Analysis

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10.1007/s11118-008-9094-4

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title = "Rational functions associated with the white noise space and related topics",

abstract = "Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.",

keywords = "Gleason's problem, Hida's white noise space, Hyperholomorphic functions, Rational functions, Wick product",

author = "Daniel Alpay and David Levanony",

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AU - Alpay, Daniel

AU - Levanony, David

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AB - Motivated by the hyper-holomorphic case we introduce and study rational functions in the setting of Hida's white noise space. The Fueter polynomials are replaced by a basis computed in terms of the Hermite functions, and the Cauchy-Kovalevskaya product is replaced by the Wick product.

KW - Gleason's problem

KW - Hida's white noise space

KW - Hyperholomorphic functions

KW - Rational functions

KW - Wick product

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DO - 10.1007/s11118-008-9094-4

M3 - Article

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SN - 0926-2601

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SP - 195

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JO - Potential Analysis

JF - Potential Analysis

IS - 2

ER -

Rational functions associated with the white noise space and related topics

Abstract

Keywords

ASJC Scopus subject areas

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