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Hu??man, Park and Skoug introduced various results for the
Lp analytic Fourier-Feynman transform and the convolution for func-
tionals on classical Wiener space which belong to some Banach algebra
S introduced by Cameron and Storvick. Also Chang, Kim and Yoo ex-
tended the above results to an abstract Wiener space for functionals in the
Fresnel class F(B) which corresponds to S. Recently Kim, Song and Yoo
investigated more generalized relationships between the Fourier-Feynman
transform and the convolution product for functionals in a generalized
Fresnel class FA1;A2 containing F(B).
In this paper, we establish various interesting relationships and expres-
sions involving the ¯rst variation and one or two of the concepts of the
Fourier-Feynman transform and the convolution product for functionals
in FA1;A2 .
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참고문헌 (18)
참고문헌 신청
/ / Fourier-Feynman transforms for functionals in ageneralized Fresnel class
/ 1965 / Convolution in Fourier-Wiener transform
/ 1972 / A functional transform for Feynman integrals similar to the Fourier trans-form
/ 1975 / Gaussian measures in Banach spaces Lecture Notes in Math
/ 1976 / Mathematical theory of Feynman path integrals Lec-ture Notes in Math
/ 1965 / Convolution in Fourier-Wiener transform
/ 1972 / A functional transform for Feynman integrals similar to the Fourier trans-form
/ 1975 / Gaussian measures in Banach spaces Lecture Notes in Math
/ 1976 / Mathematical theory of Feynman path integrals Lec-ture Notes in Math
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