Email this article Hamiltonian Feynman measures, Kolmogorov integral and infinite dimensional pseudo-differential operators
- Authors: Smolyanov O.G.1,2, Shamarov N.N.1,2
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Affiliations:
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology
- Issue: Vol 488, No 3 (2019)
- Pages: 243-247
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/16245
- DOI: https://doi.org/10.31857/S0869-56524883243-247
- ID: 16245
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Abstract
Properties of infinite dimensional pseudo-differential operators (PDO) are discussed; in particular, the connection between two definitions of the PDO is considered: one given in terms of the Hamiltonian Feynman measure, and another introduced in this work in terms of the Kolmogorov integral.
About the authors
O. G. Smolyanov
Lomonosov Moscow State University; Moscow Institute of Physics and Technology
Author for correspondence.
Email: smolyanov@yandex.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991; 9, Institutskij, Dolgoprudny, Moscow region, 141701
N. N. Shamarov
Lomonosov Moscow State University; Moscow Institute of Physics and Technology
Email: nshamarov@yandex.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991; 9, Institutskij, Dolgoprudny, Moscow region, 141701
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