MultipleLpFourier–Feynman transforms on abstract Wiener space

DOI10.1080/1065246042000272090zbMath1089.28009OpenAlexW2086085941MaRDI QIDQ3377940

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Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1080/1065246042000272090

zbMATH Keywords

Fresnel classconvolution productabstract Wiener spacefirst variationmultiple \(L_p\) analytic Fourier-Feynman transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Other transforms and operators of Fourier type (43A32)

Related Items (1)

A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE

Cites Work

• Gaussian measures in Banach spaces
• An \(L_2\) analytic Fourier-Feynman transform
• An \(L_p\) analytic Fourier-Feynman transform
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Convolution in Fourier-Wiener transform
• Abstract Wiener spaces and applications to analysis
• Analytic Fourier-Feynman Transforms and Convolution
• Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space.

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