Cylinder Functions in the Fresnel Class of Functions on Abstract Wiener Spaces

DOI10.2307/2159256zbMath0762.46032OpenAlexW4241389723MaRDI QIDQ3993772

Hong Taek Hwang, Dong Myung Chung

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159256

zbMATH Keywords

Fresnel classabstract Wiener spaceGaussian random variableFeynman path integralabstract Wiener measurecylinder functionanalytic and sequential Feynman integrals

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) 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)

Analytic Fourier-Feynman transforms associated with bounded linear operators on abstract Wiener spaces

Cites Work

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• Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
• Scale-invariant measurability in abstract Wiener spaces
• Notes on the Feynman integral. I
• Gaussian measures in Banach spaces
• Mathematical theory of Feynman path integrals
• Scale-invariant measurability in Wiener space
• A simple definition of the Feynman integral, with applications
• Evaluation formulas for conditional abstract wiener integrals
• The equivalence of two approaches to the Feynman integral
• Functions in the Fresnel Class

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