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Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ are given. These properties help us to obtain convolution product of new functionals from the convolution product of old functionals which we know their convolution product.
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참고문헌 (15)
참고문헌 신청
J.M. Ahn / 2003 / Fourier-Feynman transform, convolution and first variation / Acta Math. Hungar. 100:215~235
S. Albeverio / 1976 / Mathematical theory of Feynman path integrals / Lecture Notes in Math :523
R.H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, in Analytic Functions (Kozubnik, 1979) / Lecture Notes in Math 798:18~67
K.S. Chang / 2000 / Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space / Rocky Mountain J. Math. 30:823~842
T. Huffman / 1995 / Analytic Fourier-Feynman transforms and convolution / Trans. Amer. Math. Soc. 347:661~673
S. Albeverio / 1976 / Mathematical theory of Feynman path integrals / Lecture Notes in Math :523
R.H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, in Analytic Functions (Kozubnik, 1979) / Lecture Notes in Math 798:18~67
K.S. Chang / 2000 / Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space / Rocky Mountain J. Math. 30:823~842
T. Huffman / 1995 / Analytic Fourier-Feynman transforms and convolution / Trans. Amer. Math. Soc. 347:661~673
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