Invariant and quasi-invariant measures on infinite-dimensional spaces

DOI10.1134/S1064562415060290zbMath1367.46037MaRDI QIDQ265986

O. G. Smolyanov, Valery V. Kozlov

Publication date: 13 April 2016

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

zbMATH Keywords

extensioncountably additivecylindrical measures

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (4)

Representations of regularized determinants of exponentials of differential operators by functional integrals ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ On the equations of the hydrodynamic type ⋮ Randomized Hamiltonian mechanics

Cites Work

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• Analytic properties of infinite-dimensional distributions
• The generalized Vlasov kinetic equation
• MEASURES ON LINEAR TOPOLOGICAL SPACES
• Bogolyubov transformations in Wiener-Segal-Fock space

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