Generalized convolution and generalized Fourier–Wiener transform on abstract Wiener space

DOI10.1080/10652461003764440zbMath1211.44005OpenAlexW2078208096MaRDI QIDQ3066374

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Publication date: 10 January 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652461003764440

zbMATH Keywords

abstract Wiener spacegeneralized convolutiongeneralized Fourier-Gauss transformsgeneralized Fourier-Wiener transforminverse Fourier-Wiener transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Integral transforms of analytic functions on abstract Wiener spaces
• White noise calculus and Fock space
• Convolution and the Fourier-Wiener transform on abstract Wiener space
• Potential theory on Hilbert space
• Some examples of Fourier-Wiener transforms of analytic functionals
• Analytic Fourier-Feynman Transforms and Convolution

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