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Let $C[0,T]$ denote the space of continuous real-valued functions on $[0,T]$. On the space $C[0,T]$, we introduce a Banach algebra of series of functions which are generalized Fourier-Stieltjes transforms of measures of finite variation on the product of simplex and Euclidean space. We evaluate analytic Feynman integrals of the functions in the Banach algebra which play significant roles in the Feynman integration theory and quantum mechanics.
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참고문헌 (10)
참고문헌 신청
S. A. Albeverio / 2008 / Lecture Notes in Math. 523 / Springer-Verlag
R. H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, Analytic functions / Lecture Notes in Math. 798
D. H. Cho / 2018 / Measurable functions similar to the Ito integral and the Paley-Wiener-Zygmund integral over continuous paths / Filomat 32(18):6441~6456
D. H. Cho / 2018 / A Banach algebra with its applications over paths of bounded varia-tions / Adv. Oper. Theory 3(4):794~806
D. H. Cho / 2018 / A Banach algebra and its equivalent space over continuous paths with a positive measure / Asian J. Math
R. H. Cameron / 1980 / Some Banach algebras of analytic Feynman integrable functionals, Analytic functions / Lecture Notes in Math. 798
D. H. Cho / 2018 / Measurable functions similar to the Ito integral and the Paley-Wiener-Zygmund integral over continuous paths / Filomat 32(18):6441~6456
D. H. Cho / 2018 / A Banach algebra with its applications over paths of bounded varia-tions / Adv. Oper. Theory 3(4):794~806
D. H. Cho / 2018 / A Banach algebra and its equivalent space over continuous paths with a positive measure / Asian J. Math
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