Sequential Fourier-Feynman transform, convolution and first variation

DOI10.1090/S0002-9947-07-04383-8zbMath1130.28004OpenAlexW2041231436MaRDI QIDQ5437616

Byoung Soo Kim, Il Yoo, T. S. Song, Kun Soo Chang, Dong Hyun Cho

Publication date: 21 January 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04383-8

zbMATH Keywords

convolutiontranslation theoremParseval's relationsequential Feynman integralsequential Fourier-Feynman transform

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Integral transforms of special functions (44A20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (5)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Fourier-Feynman transforms of unbounded functionals on abstract Wiener space ⋮ Integration by parts formulas for analytic Feynman integrals of unbounded functionals

Cites Work

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• Sequential Fourier-Feynman transforms
• Analytic Fourier-Feynman Transforms and Convolution
• Convolution and Analytic Fourier-Feynman Transforms Over Paths in Abstract Wiener Space
• Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space.

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