Parts formulas involving conditional generalized Feynman integrals and conditional generalized Fourier–Feynman transforms on function space

DOI10.1080/1065246042000271983zbMath1075.60105OpenAlexW2124964269MaRDI QIDQ4659492

Seung Jun Chang, David Skoug, Jae Gil Choi

Publication date: 21 March 2005

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

Full work available at URL: https://doi.org/10.1080/1065246042000271983

zbMATH Keywords

first variationgeneralized Brownian motion processCameron-Storvick type theorem

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)

Generalized analytic Fourier-Feynman transform of functionals in a Banach algebra \(\mathcal F^{a,b}_{A_{1},A_{2}}\) ⋮ Integration by parts formulas for analytic Feynman integrals of unbounded functionals ⋮ A change of scale formula for a function space integral on $C_{a,b}[0,T$]

Cites Work

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• A simple formula for conditional Wiener integrals with applications
• A Kac-Feynman integral equation for conditional Wiener integrals
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• An \(L_p\) analytic Fourier-Feynman transform
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• Conditional function space integrals with applications
• Parts formulas involving conditional Feynman integrals
• Conditional Analytic Feynman Integrals and a Related Schrödinger Integral Equation
• Generalized Fourier-Feynman transforms and a first variation on function space
• Integration by parts formulas involving generalized Fourier-Feynman transforms on function space

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