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Daletskii Alexei
Область математичних досліджень
Нескінченновимірний аналіз
Infinite dimensional analysis
Деякі
з основних публікацій
- Stochastic
analysis on product manifolds: Dirichlet operators on
differential forms. J. Funct. Anal. 176 (2000), no. 2, 280-316
(with S.
Albeverio, Yu. Kondratiev).
- Laplace operators
on
differential forms over configuration spaces. J. Geometry and
Physics
37 (2001), 15-46 (with S. Albeverio, E. Lytvynov).
- De
Rham cohomology of configuration spaces with Poisson measures.
J.
Funct. Anal. 185 (2001), 240-273 (with S. Albeverio, E. Lytvynov).
- Laplace
operators in de Rham complexes associated with measures on
configuration spaces. J. Geom. Phys. 47 (2003), 259-302. (with
S.
Albeverio, Yu. Kondratiev, E. Lytvynov).
- Stochastic
differential equations on product loop manifolds. Bulletin des
sciences
mathematiques 127 (2003), 649-667 (with S. Albeverio, Z.
Brzezniak).
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