Sobolev spaces over loop groups

DOI10.1006/jfan.1995.1006zbMath0823.46034OpenAlexW1988073295MaRDI QIDQ1891780

Shigeki Aida

Publication date: 19 July 1995

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1006

zbMATH Keywords

essential self-adjointness of the Laplacianshypoellipticity of the LaplaciansOrnstein-Uhlenbeck operators over loop groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Loop groups and related constructions, group-theoretic treatment (22E67) Elliptic equations on manifolds, general theory (58J05) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (15)

Hamilton-Jacobi semi-groups in infinite dimensional spaces ⋮ Itô maps and analysis on path spaces ⋮ De Rham-Hodge-Kodaira operator on loop groups ⋮ From the heat measure to the pinned Wiener measure on loop groups ⋮ Small-time Gaussian behavior of symmetric diffusion semigroups ⋮ The existence of geodesics in Wasserstein spaces over path groups and loop groups ⋮ WITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIOR ⋮ Connections and curvature in the Riemannian geometry of configuration spaces ⋮ A STOCHASTIC APPROACH TO THE EULER–POINCARE CHARACTERISTIC OF A QUOTIENT OF A LOOP GROUP ⋮ Vanishing of one-dimensional \(L^2\)-cohomologies of loop groups ⋮ Uniform positivity improving property, Sobolev inequalities, and spectral gaps ⋮ Differential calculus on path and loop spaces. II: Irreducibility of Dirichlet forms on loop spaces ⋮ Differentiable measures and the Malliavin calculus ⋮ Riemannian distance, Rademacher theorem and transportation cost inequality on loop groups. ⋮ Kato's inequality and essential self-adjointness of dirichlet operators on certain banach spaces

This page was built for publication: Sobolev spaces over loop groups