Notes on the Feynman integral. I

DOI10.2140/pjm.1981.93.313zbMath0459.28011OpenAlexW2052362214MaRDI QIDQ1151984

David Skoug, Gerald W. Johnson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2140/pjm.1981.93.313

zbMATH Keywords

analytic Feynman integralWiener space

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) 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) Distributions on infinite-dimensional spaces (46F25)

Related Items (13)

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples ⋮ Functions in the Fresnel Class ⋮ Conditional Analytic Feynman Integrals on Abstract Wiener Spaces ⋮ Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Analytic Fourier-Feynman transforms associated with bounded linear operators on abstract Wiener spaces ⋮ Notes on the Feynman integral. II ⋮ The Feynman integral of quadratic potentials depending on n time variables ⋮ Analogues of conditional Wiener integrals with drift and initial distribution on a function space ⋮ Cylinder Functions in the Fresnel Class of Functions on Abstract Wiener Spaces ⋮ Unnamed Item ⋮ A Note on Paley-Wiener-Zygmund Stochastic Integrals ⋮ The equivalence of two approaches to the Feynman integral

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