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Volumn 38, Issue 2, 2001, Pages 485-501

Analytic Fourier-Feynman transform and first variation on abstract Wiener space

Author keywords

Abstract Wiener space; First variation; Fourier Feynman transform; Fresnel class; Integration by parts formula

Indexed keywords


EID: 0142121226     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (17)
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  • 6
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    • Gaussian random fields, World Scientific, Singapore
    • -, Feynman integral of variations of functionals, in Gaussian random fields, World Scientific, Singapore (1991), 144-157.
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  • 7
    • 0002131477 scopus 로고
    • Scale-invariant measurability in Yeh-Wiener space
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    • Chang, K.S.1
  • 8
    • 0034348086 scopus 로고    scopus 로고
    • Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space
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    • (2000) Rocky Mountain J. Math. , vol.30 , Issue.3 , pp. 823-842
    • Chang, K.S.1    Kim, B.S.2    Yoo, I.3
  • 9
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    • Fourier-Feynman transform, convolution and first variation of functionals on abstract Wiener space
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    • (2000) Integral Transform. Spec. Funct. , vol.10 , pp. 179-200
  • 10
    • 0001043764 scopus 로고
    • Analytic Fourier-Feynman transforms and convolution
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    • (1995) Trans. Amer. Math. Soc. , vol.347 , Issue.2 , pp. 661-673
    • Huffman, T.1    Park, C.2    Skoug, D.3
  • 11
    • 0000652434 scopus 로고    scopus 로고
    • Convolution and Fourier-Wiener transforms of functions convolving multiple integrals
    • -, Convolution and Fourier-Wiener transforms of functions convolving multiple integrals, Michigan Math. J. 43 (1996), 247-261.
    • (1996) Michigan Math. J. , vol.43 , pp. 247-261
  • 12
    • 0031313486 scopus 로고    scopus 로고
    • Convolutions and Fourier-Feynman transforms
    • -, Convolutions and Fourier-Feynman transforms, Rocky Mountain J. Math. 27 (1997), no. 3, 827-841.
    • (1997) Rocky Mountain J. Math. , vol.27 , Issue.3 , pp. 827-841
  • 14
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    • Generalized Feynman integrals using an analytic continuation in several complex variables
    • (ed. M. H. Pinsky)" Marcel-Dekker Inc., New York
    • G. Kallianpur and C. Bromley, Generalized Feynman integrals using an analytic continuation in several complex variables, in "Stochastic Analysis and Application (ed. M. H. Pinsky)" Marcel-Dekker Inc., New York, 1984.
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    • Kallianpur, G.1    Bromley, C.2
  • 15
    • 0001507237 scopus 로고
    • Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula
    • G. Kallianpur, D. Kannan, and R. L. Karandikar, Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula, Ann. Inst. Heri. Poincaré 21 (1985), 323-361.
    • (1985) Ann. Inst. Heri. Poincaré , vol.21 , pp. 323-361
    • Kallianpur, G.1    Kannan, D.2    Karandikar, R.L.3
  • 16
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    • Abstract Wiener measure and applications to analysis
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.