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Multiple $L_p$ analytic generalized Fourier-Feynman transform onthe Banach algebra

최재길|장승준
대한수학회 (The Korean Mathematical Society)|2004.01|대한수학회논문집 (Communications of the KMS)|제19권 제1호|pp. 93-111

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Abstract

In this paper, we use a generalized Brownian motionprocess to define a generalized Feynman integral and a generalizedFourier-Feynman transform. We also define the concepts of themultiple L_p analytic generalized Fourier-Feynman transform andthe generalized convolution product of functionals on functionspace cab. We then verify the existence of the multiple L_panalytic generalized Fourier-Feynman transform for functionals onfunction space that belong to a Banach algebra sab. Finally weestablish some relationships between the multiple L_p analyticgeneralized Fourier-Feynman transform and the generalizedconvolution product for functionals in sab.

참고문헌 (16)

  1. "$L_1$ analytic Fourier-Feynman transform on the Fresenel class of abstract Wiener space", 35(1), pp.21~30 (1998)
  2. "M. D. Brue \book A Functional Transform forFeynman Integrals Similar to the Fourier Transform \bookinfo thesis \publ University of Minnesota"
  3. "R. H. Cameron and D. A. Storvick \paper An $L_2$ analytic Fourier-Feynman transform \jour Michigan Math. J. \vol 23 \yr 1976 \pages 1--30"
  4. "Some Banach algebras of analyticFeynman integrable functionals \jour Lecture Notes in Math." (1979)
  5. "Analytic Fourier-Feynman transform and first variation on abstract Wiener space", 38(2), pp.485~501 (2000)
  6. "Conditional function space integrals with applications", 26(1), pp.37~62 (1996)
  7. "Generalized Fourier-Feynman transforms and the first variation on function space"
  8. "Integration by parts formulas involving generalized Fourier-Feynman transforms on function space", 355(7), pp.2925~2948 (2003)
  9. "Analytic Fourier-Feynman transforms and convolution", 347, pp.661~673 (1995)
  10. "Convolution and Fourier-Feynman Transforms", 27, pp.827~841 (1997)
  11. "Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals", 43, pp.247~261 (1996)
  12. "The Feynman Integral and Feynman's Operational Calculus" (2000), Clarendon Press
  13. "G. W. Johnson and D. L. Skoug \paper An $L_p$Analytic Fourier-Feynman transform \jour Michigan Math. J. \vol 26 \yr 1979 \pages 103--127"
  14. "E. Nelson \book Dynamical theories of theBrownian motion $", Princeton University Press
  15. "Conditional Fourier-Feynman transforms and conditional convolution products", 38(1), pp.61~76 (2001)
  16. "Relationships among the first variation, the convolution product, and the Fourier-Feynman transform", 28(4), pp.1447~1468 (1998)

관련 논문AI추천

Conditional generalized Fourier-Feynman transform and conditional convolution product on a Banach algebra장승준, 최재길대한수학회 · 대한수학회보2004 · 제41권 제1호Generalized analytic Fourier-Feynman transforms and convolutions on a Fresnel type class이일용, 장승준대한수학회 · 대한수학회보2011 · 제48권 제2호Generalized Fourier–Feynman Transform of Bounded Cylinder Functions on the Function Space C_(a,b)[0, T]최재길경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제2호Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform유일, 김병수강원경기수학회 · 한국수학논문집2021 · 제29권 제2호Conditional Fourier-Feynman transform and convolution product over Wiener paths in abstract Wiener space : an{L}$_{\text{p}}$ theoryDong Hyun Cho대한수학회 · 대한수학회지2004 · 제41권 제2호A Fubini theorem for generalized analytic Feynman integrals and Fourier-Feynman transforms on function space장승준, Il Yong Lee대한수학회 · 대한수학회보2003 · 제40권 제3호

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