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The Transformation Theorem on Analogue of Wiener Space

임만규
한국수학교육학회|2007.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제4호|pp. 317-333

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Abstract

In 2002, the author and professor Ryu introduced the concept of ana- logue of Wiener measure. In this paper, we prove the existence theorem of Fourier- Feynman transform on analogue of Wiener measure in L2-norm sense.

참고문헌 (11)

  1. "Rotation in the product of two Wiener spaces" (1952)
  2. Brue, "A functional transform for Feynman integrals imilar to theFourier trans-form Thesis of the Univ" (1972)
  3. Chang, "Analytic Fourier-Feynman transform and convolutionof unctionals on abstract Wiener space"
  4. Im, "aspect of Dobrakov integral I"
  5. "Scale-invariant measurability in Wiener space" (1979)
  6. "Probability measures on metric spaces" (1967)
  7. "The rotation theorem on analogue of Wiener space THE TRANSFORMATION THEOREM ON ANALOGUE OF WIENER SPACE 3"
  8. K. S. Ryu, "A measure-valued analogue ofWiener measure and the measurevalued Feynman-Kac formula", 354, pp.4921~4951 (2002)
  9. "An analogue of Wiener measure and its applications", 801(819) (2002)
  10. K. S. Ryu, "The measure-valued Dyson series and its stability theorem", 46, pp.461~489 (2006)
  11. "The operational calculus for a measure-valued Dyson series", 43, pp.703~715 (2006)

관련 논문AI추천

An analogue of Wiener measure and its applications류근식, 임만규대한수학회 · 대한수학회지2002 · 제39권 제5호Change of scale formulas for Wiener integral over paths in abstract Wiener space김병수, 김태수대한수학회 · 대한수학회논문집2006 · 제21권 제1호Change of scale formulas for conditional Wiener integrals as integral transforms over Wiener paths in abstract Wiener space조동현대한수학회 · 대한수학회논문집2007 · 제22권 제1호Stochastic Calculus for Analogue of Wiener Process김재희, 임만규한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호A translation of an analogue of Wiener space with its applications on their product spaces조동현대한수학회 · 대한수학회논문집2022 · 제37권 제3호A Change of scale formula for conditional Wiener integrals on classical Wiener space유일, 김병수, 송택섭, 장건수, 조동현대한수학회 · 대한수학회지2007 · 제44권 제4호

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