Relationships involving generalized fourier–feynman transform, convolution and first variation

DOI10.1080/10652460412331320359zbMath1066.28006OpenAlexW2085036744MaRDI QIDQ4681088

T. S. Song, Dong Hyun Cho, Byoung Soo Kim, Il Yoo, Kun Soo Chang

Publication date: 14 June 2005

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

Full work available at URL: https://doi.org/10.1080/10652460412331320359

zbMATH Keywords

Fourier-Feynman transformconvolution productfirst variationWiener spaceFeynman integral

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (15)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE ⋮ A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications ⋮ Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space ⋮ Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform ⋮ Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space. II ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Fourier-Feynman transforms of unbounded functionals on abstract Wiener space ⋮ \(L_2\)-sequential transforms on function space ⋮ Some properties of the matrix Wiener transform with related topics on Hilbert space ⋮ A rotation on Wiener space with applications ⋮ Classes of Fourier-Feynman transforms on Wiener space ⋮ Unnamed Item ⋮ Generalized integral transforms and convolution products on function space ⋮ Multiple generalized analytic Fourier-Feynman transform via rotation of Gaussian paths on function space

Cites Work

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• An \(L_p\) analytic Fourier-Feynman transform
• Fourier-Feynman transforms and the first variation
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• Generalized transforms and convolutions
• Convolution and Fourier-Feynman transforms
• Fourier-Feynman transform, convolution and first variation
• Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Fourier-feynman transform, convolution and first variation of functional on abstract wiener
• Analytic Fourier-Feynman Transforms and Convolution
• Integral transform and convolution of analytic functionals on abstract Wiener space
• Convolution and Analytic Fourier-Feynman Transforms Over Paths in Abstract Wiener Space

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