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Time shifting and frequency shifting proprerties for the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ are given. We discuss scaling and modulation proprerties for the Fourier-Feynman transform. These properties help us to obtain Fourier-Feynman transforms of new functionals from the Fourier-Feynman transforms of old functionals which we know their Fourier-Feynman transforms.
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참고문헌 (17)
참고문헌 신청
B.S. Kim / 2015 / Shifting and variational properties for Fourier-Feynman transform and convolution / J. Funct. Space 2015 : 1 ~ 9
Byoung Soo Kim / 2009 / ANALYTIC FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS / 충청수학회지 22 (3) : 481 ~ 495
G. Kallianpur / 1984 / Stochastic Analysis and Applica-tion / Marcel-Dekker Inc : 219 ~ 267
G. Kallianpur / 1985 / Analytic and sequential Feyn-man integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula / Ann. Inst. Henri. Poincare 21 : 323 ~
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
Byoung Soo Kim / 2009 / ANALYTIC FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS / 충청수학회지 22 (3) : 481 ~ 495
G. Kallianpur / 1984 / Stochastic Analysis and Applica-tion / Marcel-Dekker Inc : 219 ~ 267
G. Kallianpur / 1985 / Analytic and sequential Feyn-man integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula / Ann. Inst. Henri. Poincare 21 : 323 ~
G.W. Johnson / 1979 / An Lp analytic Fourier-Feynman transform / Michigan Math. J 26 : 103 ~ 127
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