Hamiltonian Feynman Measures, Kolmogorov Integral, and Infinite-Dimensional Pseudodifferential Operators


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Properties of infinite-dimensional pseudodifferential operators (PDO) are discussed. In particular, the connection between two definitions of PDO is considered: one given in terms of the Hamiltonian Feynman measure and the other introduced in this work in terms of the Kolmogorov integral.

Sobre autores

O. Smolyanov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Moscow Institute of Physics and Technology (State University)

Autor responsável pela correspondência
Email: smolyanov@yandex.ru
Rússia, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700

N. Shamarov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Moscow Institute of Physics and Technology (State University)

Autor responsável pela correspondência
Email: nshamarov@yandex.ru
Rússia, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700

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