대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제11권1호
  • /
  • Pages.175-190
  • /
  • 1996
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 1996.01.01
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초록

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.

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