MEASURES ON LINEAR TOPOLOGICAL SPACES

DOI10.1070/RM1976v031n04ABEH001553zbMath0364.28010MaRDI QIDQ4138966

O. G. Smolyanov, S. V. Fomin

Publication date: 1976

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (34)

Invariant and quasi-invariant measures on infinite-dimensional spaces ⋮ To quantum averages through asymptotic expansion of classical averages on infinite-dimensional space ⋮ Feynman measure in the phase space and symbols of infinite-dimensional pseudodifferential operators ⋮ The asymmetry indices of stable measures ⋮ Maslov-Poisson measure and Feynman formulas for the solution of the Dirac equation ⋮ Some results on logarithmic derivatives of measures on a locally convex space ⋮ The theory of non-Archimedean generalized functions and its applications to quantum mechanics and field theory ⋮ Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model ⋮ Gaussian measures on linear spaces ⋮ Integral operators for nonlocally compact group modules ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Unnamed Item ⋮ A remark on finitely additive measures ⋮ Gaussian random fields, infinite dimensional Ornstein-Uhlenbeck processes, and symmetric Markov processes ⋮ On Hopf type functional derivative equations for \(\square{} u+cu+bu^ 2+au^ 3 = 0\) on \(\Omega{} \times{} R\). I: Existence of solutions ⋮ Boundary driven Brownian gas ⋮ Tightness and weak convergence of probabilities on the Skorokhod space on the dual of a nuclear space and applications ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ Operator approach to weak convergence of measures and limit theorems for random operators ⋮ A non-commutative central limit theorem ⋮ Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\) ⋮ Integral representation of exponentially convex functions ⋮ On the invertibility of infinite-dimensional pseudodifferential operators ⋮ Continuous linear operators commuting with convolution of measures in infinite-dimensional space ⋮ Continuity and generators of dynamical semigroups for infinite Bose systems ⋮ Tightness of probability measures on function spaces ⋮ Measures on topological spaces ⋮ Inviscid limit for the damped generalized incompressible Navier-Stokes equations on \(\mathbb{T}^2\) ⋮ A characterization of semimartingales on nuclear spaces ⋮ Differentiable measures and the Malliavin calculus ⋮ Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian ⋮ Rate of convergence in the central limit theorem in infinite-dimensional spaces ⋮ Negligible sets in locally convex spaces ⋮ Hilbert supports of measures on locally convex spaces

This page was built for publication: MEASURES ON LINEAR TOPOLOGICAL SPACES