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Change of variable formulas for Feynman pseudomeasures. (English. Russian original) Zbl 1024.28012
Theor. Math. Phys. 119, No. 3, 677-686 (1999); translation from Teor. Mat. Fiz. 119, No. 3, 355-367 (1999).
Summary: We derive formulas describing the transformations of Feynman pseudomeasures generated by nonlinear permutations for the phase space. In particular, we obtain analogues of the Ramer formula for the Gauss measures and of the change of variable formula proved by D. Elworthy and A. Truman [Ann. Inst. Henri Poincaré, Phys. Théor. 41, 115-142 (1984; Zbl 0578.28013)].

28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
46G12 Measures and integration on abstract linear spaces
Zbl 0578.28013
Full Text: DOI
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