Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 21 Issue 2
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- Pages.231-246
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- 2008
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
GENERALIZED ANALYTIC FEYNMAN INTEGRALS INVOLVING GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND GENERALIZED INTEGRAL TRANSFORMS
- Chang, Seung Jun (Department of Mathematics Dankook University) ;
- Chung, Hyun Soo (Department of Mathematics Dankook University)
- Received : 2008.04.11
- Accepted : 2008.05.21
- Published : 2008.06.30
Abstract
In this paper, we use a generalized Brownian motion process to define 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
Keywords
- generalized Brownian motion process;
- generalized analytic Feynman integral;
- generalized integral transform;
- generalized analytic Fourier-Feynman transform