Integration by parts formulas for analytic Feynman integrals of unbounded functionals

DOI10.1080/10652460802442299zbMath1165.28009OpenAlexW2143698916MaRDI QIDQ3605078

Byoung Soo Kim, Bong Jin Kim

Publication date: 19 February 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802442299

zbMATH Keywords

Fourier-Feynman transformFresnel classanalytic Feynman integralabstract Wiener spaceintegration by parts

Mathematics Subject Classification ID

Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (3)

Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Octonion measures for solutions of PDEs ⋮ Feynman integration over octonions with application to quantum mechanics

Cites Work

• Generalized Feynman integrals via conditional Feynman integrals
• A survey of results involving transforms and convolutions in function space
• A change of scale formula for Wiener integrals of unbounded functions
• Fourier-feynman transform, convolution and first variation of functional on abstract wiener
• Parts formulas involving conditional Feynman integrals
• A CHANGE OF SCALE FORMULA FOR WIENER INTEGRALS OF UNBOUNDED FUNCTIONS II
• New Existence Theorems and Evaluation Formulas for Sequential Feynman Integrals
• Parts formulas involving conditional generalized Feynman integrals and conditional generalized Fourier–Feynman transforms on function space
• Integration by parts formulas involving generalized Fourier-Feynman transforms on function space
• Sequential Fourier-Feynman transform, convolution and first variation

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