New Existence Theorems and Evaluation Formulas for Sequential Feynman Integrals

DOI10.1112/plms/s3-52.3.557zbMath0563.28007OpenAlexW1967211256MaRDI QIDQ3676392

R. H. Cameron, D. A. Storvick

Publication date: 1986

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-52.3.557

zbMATH Keywords

sequential definition of the Feynman integralevaluation formulasexistence of the Feynman integralFourier-Stieltjes transform of a measure of bounded variationgeneralized Lebesgue integrationorder reversal theorems

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (5)

Generalized sequential Feynman integral and Fourier-Feynman transform ⋮ Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform ⋮ Sequential Fourier-Feynman transform, convolution and first variation ⋮ Integration by parts formulas for analytic Feynman integrals of unbounded functionals ⋮ A Note on Paley-Wiener-Zygmund Stochastic Integrals

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