Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups

DOI10.1070/IM8890zbMath1461.46045OpenAlexW2994622818MaRDI QIDQ5118068

V. Zh. Sakbaev, V. M. Busovikov

Publication date: 4 September 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8890

zbMATH Keywords

Sobolev spacesrandom walksembedding theoremsLaplace operator on infinite-dimensional spacetranslation-invariant measure on Hilbert space

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures and integration on abstract linear spaces (46G12) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

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