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This paper is a further development of the recent results by the authors on the generalized sequential Fourier-Feynman transform for functionals in a Banach algebra $\hat{\mathcal S}$ and some related functionals. We investigate various relationships between the generalized sequential Fourier-Feynman transform and the generalized sequential convolution product of functionals. Parseval's relation for the generalized sequential Fourier-Feynman transform is also given.
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참고문헌 (16)
참고문헌 신청
R. H. Cameron / 1983 / A simple definition of the Feynman integral, with applications / Mem. Amer. Math. Soc (288)
R. H. Cameron / 1985 / Sequential Fourier-Feynman transforms / Annales Acad. Sci-ent. Fenn 10:107~111
R. H. Cameron / 1986 / New existence theorems and evaluation formulas for sequential Feynman integrals / Proc. London Math. Soc 52:557~581
R.H. Cameron / 1989 / New existence theorems and evaluation formulas for analytic Feynman integrals / Deformations Math. Struct., Complex Analy. Phys. Appl., Kluwer Acad. Publ., Dordrecht :297~308
K. S. Chang / 2005 / Relationships involving generalized Fourier-Feynman transform, convolution and first variation / Integral Transform. Spec. Funct 16:391~405
R. H. Cameron / 1985 / Sequential Fourier-Feynman transforms / Annales Acad. Sci-ent. Fenn 10:107~111
R. H. Cameron / 1986 / New existence theorems and evaluation formulas for sequential Feynman integrals / Proc. London Math. Soc 52:557~581
R.H. Cameron / 1989 / New existence theorems and evaluation formulas for analytic Feynman integrals / Deformations Math. Struct., Complex Analy. Phys. Appl., Kluwer Acad. Publ., Dordrecht :297~308
K. S. Chang / 2005 / Relationships involving generalized Fourier-Feynman transform, convolution and first variation / Integral Transform. Spec. Funct 16:391~405
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