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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021 Number 4, Pages 41–43 (Mi vmumm4415)

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Reduction of a functional integral over discontinuous trajectories to integrals over continuous trajectories

E. S. Kolpakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper is focused on research of functional integrals determined on discontinuous trajectories. A special type of transformation was proposed for a class of such integrals in papers on quantum physics, which makes it possible to reduce such integrals to integrals over continuous trajectories.

Key words: functional integral, Wiener measure, discontinuous trajectories.

UDC: 511

Received: 15.06.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021, 76:4, 168–171

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© Steklov Math. Inst. of RAS, 2026