대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권3호
  • /
  • Pages.397-413
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  • 2009
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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TRANSFORMS AND CONVOLUTIONS ON FUNCTION SPACE

  • 발행 : 2009.07.31
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초록

In this paper, for functionals of a generalized Brownian motion process, we show that the generalized Fourier-Feynman transform of the convolution product is a product of multiple transforms and that the conditional generalized Fourier-Feynman transform of the conditional convolution product is a product of multiple conditional transforms. This allows us to compute the (conditional) transform of the (conditional) convolution product without computing the (conditional) convolution product.

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참고문헌

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