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.

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O. Smolyanov

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

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Email: smolyanov@yandex.ru
俄罗斯联邦, 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)

编辑信件的主要联系方式.
Email: nshamarov@yandex.ru
俄罗斯联邦, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700

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