A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.

Kim, Young Sik

Displaying similar documents to “A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.”

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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...