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Functional integration. (English) Zbl 0974.58011

Summary: Three approaches to functional integration are compared: Feynman’s definition and the Feynman-Kac formula, Bryce DeWitt’s formalism, and the authors’ axiomatic scheme. They serve to highlight the evolution of functional integration in the second half of the twentieth century.

MSC:

58D30 Applications of manifolds of mappings to the sciences
46F25 Distributions on infinite-dimensional spaces
60H40 White noise theory
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81S40 Path integrals in quantum mechanics
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