GENERALIZED ANALYTIC FEYNMAN INTEGRALS INVOLVING GENERALIZED ANALYTIC FOURIER{FEYNMAN TRANSFORMS AND GENERALIZED INTEGRAL TRANSFORMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 2
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2008.06231 - 246 (16 pages)
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In this paper, we use a generalized Brownian motion process to de¯ne a generalized analytic Feynman integral. We then establish several integration formulas for generalized analytic Feynman integrals, generalized analytic Fourier-Feynman transforms and generalized integral transforms of functionals in the class of functionals E0. Finally, we use these integration formulas to obtain several generalized Feynman integrals involving the gen-eralized analytic Fourier-Feynman transform and the generalized integral transform of functionals in E0.
1. Introduction
2. De¯nitions and preliminaries
3. Generalized Feynman integrals, L1 analytic GFFTs and gener-alized integral transforms of functionals in E0
4. Generalized analytic Feynman integrals involving generalized integral transforms and L1 analytic GFFTs of functionals in E0
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