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In this paper, using a simple formula, we evaluate the
conditional Fourier-Feynman transforms and the conditional convolution
products of cylinder type functions, and show that the
conditional Fourier-Feynman transform of the conditional convolution
product is expressed as a product of the conditional Fourier-
Feynman transforms. Also, we evaluate the conditional Fourier-
Feynman transforms of the functions of the forms
exp T
0
θ(s, x(s))ds , exp T
0
θ(s, x(s))ds φ(x(T)),
exp T
0
θ(s, x(s))dζ(s) , exp T
0
θ(s, x(s))dζ(s) φ(x(T))
which are of interest in Feynman integration theories and quantum
mechanics.
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참고문헌 (15)
참고문헌 신청
/ / A conditional anlytic Feynmanintegral over Wiener paths
/ 1971. / Introduction to Fourier analysis on Euclidean spaces
/ 1973 / The law of the iterated logarithm for Brownian motionin a Banach space
/ 1974 / Inversion of conditional expectations
/ 1975 / Inversion of conditional Wiener integrals
/ 1971. / Introduction to Fourier analysis on Euclidean spaces
/ 1973 / The law of the iterated logarithm for Brownian motionin a Banach space
/ 1974 / Inversion of conditional expectations
/ 1975 / Inversion of conditional Wiener integrals
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