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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2012.1
- 수록면
- 413 - 431 (19page)
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Let Cr[0; t] be the function space of the vector-valued continuous paths x : [0; t] ! Rr and define Xt : Cr[0; t] ! R(n+1)r and Yt : Cr[0; t] ! Rnr by Xt(x) = (x(t0); x(t1); ; x(tn1); x(tn)) and Yt(x) = (x(t0); x(t1); ; x(tn1)), respectively, where 0 = t0 < t1 < < tn = t. In the present paper, using two simple formulas for the conditional expectations over Cr[0; t] with the conditioning functions Xt and Yt, we establish evaluation formulas for the analogue of the conditional analytic Fourier-Feynman transform for the function of the form
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참고문헌 (12)
참고문헌 신청
D. H. Cho / 2008 / A simple formula for an analogue of conditional Wiener integrals and its applications / Trans. Amer. Math. Soc. 360 (7) : 3795 ~ 3811
D. H. Cho / 2009 / A simple formula for an analogue of conditional Wiener integrals and its applications II / Czechoslovak Math. J. 59 (134) : 431 ~ 452
Dong Hyun Cho / 2004 / Conditional Fourier-Feynman transform and convolution product over Wiener paths in abstract Wiener space : an{L}$_{\text{p}}$ theory / 대한수학회지 41
G. W. Johnson / 1986 / Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus / Mem. Amer. Math. Soc. 62 (351)
H. H. Kuo / 1975 / Gaussian measures in Banach spaces, Lecture Notes in Mathematics, 463 / Springer-Verlag
D. H. Cho / 2009 / A simple formula for an analogue of conditional Wiener integrals and its applications II / Czechoslovak Math. J. 59 (134) : 431 ~ 452
Dong Hyun Cho / 2004 / Conditional Fourier-Feynman transform and convolution product over Wiener paths in abstract Wiener space : an{L}$_{\text{p}}$ theory / 대한수학회지 41
G. W. Johnson / 1986 / Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus / Mem. Amer. Math. Soc. 62 (351)
H. H. Kuo / 1975 / Gaussian measures in Banach spaces, Lecture Notes in Mathematics, 463 / Springer-Verlag
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