대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권4호
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  • Pages.1141-1151
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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GENERALIZED FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS FOR EXPONENTIAL TYPE FUNCTIONS OF GENERALIZED BROWNIAN MOTION PATHS

  • Jae Gil Choi (School of General Education Dankook University)
  • 투고 : 2023.01.07
  • 심사 : 2023.05.31
  • 발행 : 2023.10.31
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초록

Let Ca,b[0, T] denote the space of continuous sample paths of a generalized Brownian motion process (GBMP). In this paper, we study the structures which exist between the analytic generalized Fourier-Feynman transform (GFFT) and the generalized convolution product (GCP) for functions on the function space Ca,b[0, T]. For our purpose, we use the exponential type functions on the general Wiener space Ca,b[0, T]. The class of all exponential type functions is a fundamental set in L2(Ca,b[0, T]).

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참고문헌

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