대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권3호
  • /
  • Pages.579-595
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

AN $L_p$ ANALYTIC FOURIER-EYNMAN TRANSFORM ON ABSTRACT WIENER SPACE

  • Kun Soo Chang (Department of Mathematics, Yonsei University, Seoul 120-749, Korea) ;
  • Young Sik Kim (Global Analysis Research Center, Department of Mathematics, Seoul National University, Seoul 151-742, Korea) ;
  • Il Yoo (Department of Mathematics, Yonsei University, Kangwondo 222-710, Korea)
  • 발행 : 1997.07.01
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초록

In this paper, we establish an $L_p$ analytic Fourier-Feynman transform theory for a class of cylinder functions on an abstract Wiener space. Also we define a convolution product for functions on an abstract Wiener space and then prove that the $L_p$ analytic Fourier-Feyman transform of the convolution product is a product of $L_p$ analytic Fourier-Feyman transforms.

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참고문헌

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