Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 1
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- Pages.175-190
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
A class of conditional analytic Feynman integrals
- Chung, Dong-Myung (Department of Mathematics, Sogang University) ;
- Kang, Si-Ho (Department of Mathematics, Sookmyung Womens University) ;
- Kang, Soon-Ja (Department of Mathematics, Sookmyung Womens University)
- Published : 1996.01.01
Abstract
In this paper we establish the existence of the conditional Feynman integral of certain functions which are not in the Banach algebra S of functions on Wiener space which are a kind of stochastic Fourier transform of complex Borel measures on $L^2[a, b]$. This result is used to provide the fundamental solution for the Schr$\ddot{o}$dinger equation for the forced harmonic potential.