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Volumn 355, Issue 7, 2003, Pages 2925-2948

Integration by parts formulas involving generalized Fourier-Feynman transforms on function space

Author keywords

Cameron Storvick type theorem; First variation; Generalized analytic Feynman integral; Generalized analytic Fourier Feynman transform; Generalized Brownian motion process

Indexed keywords


EID: 0038128633     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03256-2     Document Type: Article
Times cited : (51)

References (13)
  • 2
    • 0005274650 scopus 로고
    • Feynman integral of variations of functions
    • Gaussian random fields, MR 93b:28035
    • _, Feynman integral of variations of functions, in Gaussian random fields, Ser. Prob. Statist. 1 (1991), 144-157. MR 93b:28035
    • (1991) Ser. Prob. Statist. , vol.1 , pp. 144-157
  • 3
    • 0037711858 scopus 로고    scopus 로고
    • Fourier-Feynman transform, convolution and first variation of functionals on abstract Wiener space
    • MR 2001m:28023
    • K. S. Chang, B. S. Kim, and I. Yoo, Fourier-Feynman transform, convolution and first variation of functionals on abstract Wiener space, Integral transforms and Special Functions 10 (2000), 179-200. MR 2001m:28023
    • (2000) Integral Transforms and Special Functions , vol.10 , pp. 179-200
    • Chang, K.S.1    Kim, B.S.2    Yoo, I.3
  • 4
    • 0038726194 scopus 로고    scopus 로고
    • The effect of drift on the Fourier-Feynman transform, the convolution product and the first variation
    • S. J. Chang and D. L. Skoug, The effect of drift on the Fourier-Feynman transform, the convolution product and the first variation, Panamerican Math. J. 10 (2000), 25-38.
    • (2000) Panamerican Math. J. , vol.10 , pp. 25-38
    • Chang, S.J.1    Skoug, D.L.2
  • 5
    • 0038387986 scopus 로고    scopus 로고
    • Generalized Fourier-Feynman transforms and a first variation on function space
    • _, Generalized Fourier-Feynman transforms and a first variation on function space, to appear in Integral Transforms and Special Functions.
    • Integral Transforms and Special Functions
  • 6
    • 0001043764 scopus 로고
    • Analytic Fourier-Feynman transforms and convolution
    • MR 95d:28017
    • T. Huffman, C. Park and D. Skoug, Analytic Fourier-Feynman transforms and convolution, Trans. Amer. Math. Soc. 347 (1995), 661-673. MR 95d:28017
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 661-673
    • Huffman, T.1    Park, C.2    Skoug, D.3
  • 7
    • 0002498749 scopus 로고    scopus 로고
    • Generalized transforms and convolutions
    • MR 97k:46047
    • _, Generalized transforms and convolutions, Internat. J. Math. and Math. Sci. 20 (1997), 19-32. MR 97k:46047
    • (1997) Internat. J. Math. and Math. Sci. , vol.20 , pp. 19-32
  • 8
    • 0000044306 scopus 로고
    • p Analytic Fourier-Feynman transform
    • MR 81a:46050
    • p Analytic Fourier-Feynman transform, Michigan Math. J. 26 (1979), 103-127. MR 81a:46050
    • (1979) Michigan Math. J. , vol.26 , pp. 103-127
    • Johnson, G.W.1    Skoug, D.L.2
  • 9
    • 84972505206 scopus 로고
    • Scale-invariant measurability in Wiener space
    • MR81b:28016
    • _, Scale-invariant measurability in Wiener space, Pacific J. Math 83 (1979), 157-176. MR81b:28016
    • (1979) Pacific J. Math , vol.83 , pp. 157-176
  • 10
    • 0003430259 scopus 로고
    • Dynamical theories of Brownian motion (2nd Edition)
    • Princeton University Press, Princeton MR 35:5001
    • E. Nelson. Dynamical theories of Brownian motion (2nd edition), Math. Notes, Princeton University Press, Princeton (1967). MR 35:5001
    • (1967) Math. Notes
    • Nelson, E.1
  • 11
    • 0005348391 scopus 로고    scopus 로고
    • Integration by parts formulas involving analytic Feynman integrals
    • MR 99i:46031
    • C. Park, and D. Skoug, Integration by parts formulas involving analytic Feynman integrals, Panamerican Math. J. 8 (1998), 1-11. MR 99i:46031
    • (1998) Panamerican Math. J. , vol.8 , pp. 1-11
    • Park, C.1    Skoug, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.