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Volumn 14, Issue 5, 2003, Pages 375-393

Generalized Fourier-Feynman Transforms and a First Variation on Function Space

Author keywords

Cameron storvick type theorem; Translation theorem; Variation

Indexed keywords


EID: 0142010562     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/1065246031000074425     Document Type: Article
Times cited : (57)

References (20)
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    • (1979) Lecture Notes in Math. , vol.798 , pp. 18-67
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  • 4
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    • Feynman integral of variation of functionals
    • World Scientific, Singapore
    • Cameron, R. H. and Storvick, D. A. (1980). Feynman integral of variation of functionals. In: Gaussian Random Fields. World Scientific, Singapore, pp. 144-157.
    • (1980) Gaussian Random Fields , pp. 144-157
    • Cameron, R.H.1    Storvick, D.A.2
  • 5
    • 0002131477 scopus 로고
    • Scale-invariant measurability in Yeh-Wiener space
    • Chang, K. S. (1982). Scale-invariant measurability in Yeh-Wiener space. J. Korean Math. Soc., 19, 61-67.
    • (1982) J. Korean Math. Soc. , vol.19 , pp. 61-67
    • Chang, K.S.1
  • 6
    • 0142121226 scopus 로고    scopus 로고
    • Analytic Fourier-Feynman transform and first variation on abstract Wiener space
    • Chang, K. S., Song, T. S. and Yoo, I. (2000). Analytic Fourier-Feynman transform and first variation on abstract Wiener space. J. Korean Math. Soc., 38, 485-501.
    • (2000) J. Korean Math. Soc. , vol.38 , pp. 485-501
    • Chang, K.S.1    Song, T.S.2    Yoo, I.3
  • 7
    • 6944226604 scopus 로고    scopus 로고
    • Conditional function space integrals with applications
    • Chang, J. S. and Chung, D. M. (1996). Conditional function space integrals with applications. Rocky Mountain J. of Math., 26, 37-62.
    • (1996) Rocky Mountain J. of Math. , vol.26 , pp. 37-62
    • Chang, J.S.1    Chung, D.M.2
  • 8
    • 0034347763 scopus 로고    scopus 로고
    • Translation theorems for Fourier-Feynman transforms and conditional Fourier-Feynman transforms
    • Chang, S. J., Park, C. and Skoug, D. (2000). Translation theorems for Fourier-Feynman transforms and conditional Fourier-Feynman transforms. Rocky Mountain J. of Math., 30, 477-496.
    • (2000) Rocky Mountain J. of Math. , vol.30 , pp. 477-496
    • Chang, S.J.1    Park, C.2    Skoug, D.3
  • 9
    • 0038726194 scopus 로고    scopus 로고
    • The effect of drift on the Fourier-Feynman transform, the convolution product and the first variation
    • Chang, S. J. and Skoug, D. L. (2000). The effect of drift on the Fourier-Feynman transform, the convolution product and the first variation. Pan American Math, J., 10, 25-38.
    • (2000) Pan American Math, J. , vol.10 , pp. 25-38
    • Chang, S.J.1    Skoug, D.L.2
  • 10
    • 0001043764 scopus 로고
    • Analytic Fourier-Feynman transforms and convolution
    • Huffman, T., Park, C. and Skoug, D. (1995). Analytic Fourier-Feynman transforms and convolution. Trans. Amer. Math. Soc., 347, 661-673.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 661-673
    • Huffman, T.1    Park, C.2    Skoug, D.3
  • 12
    • 0000652434 scopus 로고    scopus 로고
    • Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
    • Huffman, T., Park, C. and Skoug, D. (1996). Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals. Michigan Math. J., 43, 247-261.
    • (1996) Michigan Math. J. , vol.43 , pp. 247-261
    • Huffman, T.1    Park, C.2    Skoug, D.3
  • 16
    • 84972505206 scopus 로고
    • Scale-invariant measurability in Wiener space
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    • (1979) Pacific J. Math. , vol.83 , pp. 157-176
    • Johnson, G.W.1    Skoug, D.2
  • 17
    • 0032223355 scopus 로고    scopus 로고
    • Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
    • Park, C., Skoug, D. and Storvick, D. (1998). Relationships among the first variation, the convolution product, and the Fourier-Feynman transform. Rocky Mountain J. of Math., 28, 1447-1468.
    • (1998) Rocky Mountain J. of Math. , vol.28 , pp. 1447-1468
    • Park, C.1    Skoug, D.2    Storvick, D.3
  • 19
    • 0002394464 scopus 로고
    • The analytic Feynman integral, Dirchlet forms and stochastic processes
    • Beijing, China
    • Storvick, D. A. (1993). The analytic Feynman integral, Dirchlet forms and stochastic processes. Proceedings of the international Conference, Beijing, China, pp. 355-362.
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    • Storvick, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.