대한수학회지 (Journal of the Korean Mathematical Society)

  • 제38권2호
  • /
  • Pages.485-501
  • /
  • 2001
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ANALYTIC FOURIER-FEYNMAN TRANSFORM AND FIRST VARIATION ON ABSTRACT WIENER SPACE

  • 발행 : 2001.03.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we express analytic Feynman integral of the first variation of a functional F in terms of analytic Feynman integral of the product F with a linear factor and obtain an integration by parts formula of the analytic Feynman integral of functionals on abstract Wiener space. We find the Fourier-Feynman transform for the product of functionals in the Fresnel class F(B) with n linear factors.

키워드

참고문헌

  1. Springer Lecture Notes in Math v.523 Mathematical theory of Feynman path integrals S.Albeverio;R,Hoegh-Krohn
  2. Univ. of Minnesota A functional transform for Feynman integrals similar to the Fourier tramsform,thesis M.D,Brue
  3. Proc.Amer,Math,Soc v.2 The first variation of an indefinite Wiener integral R.H.Cameron
  4. Michigan Math.J. v.23 An L₂analytic Fourier-Feynman transform R,H,Cameron;D,A,Storvick
  5. Kozubnid Lecture Notes in Math v.798 Some Banach algebras of analytic Feynman integralvle functionals, An alytic functions R,H,Cameron;D,A,Storvick
  6. Gaussian random fields Feynman integral of variations of functionals R,H,Cameron;D,A,Storvick
  7. J,Korean Math, Soc v.19 no.1 Scale-invariant measuraility in Ueh-Wiener space K.S,Chang
  8. Rocky mountain J,Math, v.30 no.3 Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space K.S,Chang;B,S,Kim;I,Yoo
  9. Integral Transform. Spec.Funct. v.10 Fourier-Feynman transform, convolution and first variation of functionals on abstract Wiener space K.S,Chang;B,S,Kim;I,Yoo
  10. Trans.Amer.Math.Soc. v.347 no.2 Analytic Fourier-Feynman transforms and convolution T.Huffman;C.Park;D.Skoug
  11. Michigan Math,J, v.43 Convolution and Fourier-Wiener transforms of functions convolving multiple integrals T.Huffman;C.Park;D.Skoug
  12. Rocky Mountain J, Math, v.27 no.3 Convolutions and Fourier-Feynman transforms T.Huffman;C.Park;D.Skoug
  13. Michigan Math.J. v.26 An Lp analytic Fourier-Feynman transform G,W,Johnson;D,L.Skoug
  14. Stochastic Analysis and Application Generalized Feynman integrals using an analytic comtimuation on several complex variabels G,Kallianpur;C,Bromley
  15. Ann,Inst,Heri,Poincare v.21 Analytic and sequential Feynman integrals on abstract Wiener and Hibert spaces and a Cameron-Martin formula G,Kallianpur;D,Kannan;R.L.Karandikar
  16. Pacific J,Math. v.31 no.2 Abstract Wiener measure and applications to analysis J,Kuelbs
  17. Rendiconti Del Circolo Matematico Di Palermo SerieⅡ,Tomo XLVⅡ v.2 Fourier-Feynman transforms and the first variation C,Park;D,Skoug;D,Storvick