Evaluation formulas for Fourier-Feynman transform over paths in abstract Wiener space

DOI10.1080/09720502.2002.10700312zbMath1040.28018OpenAlexW2091797088MaRDI QIDQ4465474

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

Publication date: 9 June 2004

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2002.10700312

zbMATH Keywords

abstract Wiener spaceinverse transformFeynman integrationanalytic Fourier-Feynman transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

Fourier-Feynman transforms, convolutions and first variations on the space of abstract Wiener space valued continuous functions

Cites Work

• Integral transforms of analytic functions on abstract Wiener spaces
• An \(L_2\) analytic Fourier-Feynman transform
• An \(L_p\) analytic Fourier-Feynman transform
• An Unsymmetric Fubini Theorem

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