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We de¯ne Fourier-Yeh-Feynman transform and convo-
lution product on the Yeh-Wiener space, and establish the exis-
tence of Fourier-Yeh-Feynman transform and convolution product
for functionals in a Banach algebra S(Q). Also we obtain Parseval's
relation for those functionals.
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참고문헌 (14)
참고문헌 신청
C. Park / 1998 / Relationships among the ?rst variation, the convolution product, and the Fourier-Feynman transform / Rocky Mountain J. Math 28 : 1447 ~ 1468
D. Skoug / 2004 / A survey of results involving transforms and convo- lutions in function space / Rocky Mountain J. Math 34 : 1147 ~ 1175
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
J. Yeh / 1960 / Wiener measure in a space of functions of two variables / Trans. Amer. Math. Soc 95 : 433 ~ 450
J. Yeh / 1973 / Stochastic processes and the Wiener integral / Marcel Dekker
D. Skoug / 2004 / A survey of results involving transforms and convo- lutions in function space / Rocky Mountain J. Math 34 : 1147 ~ 1175
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
J. Yeh / 1960 / Wiener measure in a space of functions of two variables / Trans. Amer. Math. Soc 95 : 433 ~ 450
J. Yeh / 1973 / Stochastic processes and the Wiener integral / Marcel Dekker
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