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Fourier-Feynman transform, convolution and first variation |
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| Authors: | J M Ahn K S Chang B S Kim I Yoo |
| Institution: | (1) Department of Mathematics Education, Kon-Kuk University, Seoul, 143-701, Korea;(2) Department of Mathematics, Yonsei University, Seoul, 120-749, Korea;(3) Department of Mathematics, Yonsei University, Kangwondo, 220-710, Korea |
| Abstract: | We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | abstract Wiener space Lp analytic Fourier– Feynman transform convolution Fresnel class analytic Feynman integral first variation |
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