Some basic relationships among transforms, convolution products, first variations and inverse transforms

Seung Chang; Hyun Chung; David Skoug

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Integral transforms, convolution products, and first variations.

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Relationships of convolution products, generalized transforms and the first variation on function space.

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Fourier-Feynman transforms of unbounded functionals on abstract Wiener space

Byoung Kim, Il Yoo, Dong Cho (2010)

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Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class $ℱ_{𝒜_{1}, 𝒜_{2}}$ A1,A2 than the Fresnel class $ℱ$ (B)which corresponds to the Banach algebra S. In this paper we study Fourier-Feynman transform, convolution and first variation of unbounded functionals on abstract Wiener space...