Evaluation Formulas for a Conditional Feynman Integral Over Wiener Paths in Abstract Wiener Space

DOI10.1023/B:CMAJ.0000027256.06816.1azbMath1047.28008OpenAlexW2007516362MaRDI QIDQ4814523

Dong Hyun Cho, Kun Soo Chang, Il Yoo

Publication date: 7 September 2004

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30846

zbMATH Keywords

Banach algebraconditional Wiener integralconditional Feynman integral

Mathematics Subject Classification ID

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

Related Items (2)

Operator-valued Feynman integral via conditional Feynman integrals on a function space ⋮ Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space

Cites Work

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• Gaussian measures in Banach spaces
• Inversion of conditional expectations
• Mathematical theory of Feynman path integrals
• Inversion of conditional Wiener integrals
• Laws of large numbers for normed linear spaces and certain Frechet spaces
• Frechet-Volterra variational equations, boundary value problems, and function space integrals
• An Unsymmetric Fubini Theorem
• Conditional Analytic Feynman Integrals and a Related Schrödinger Integral Equation
• The Law of the Iterated Logarithm for Brownian Motion in a Banach Space
• Functions in the Fresnel Class

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