Spaces of smooth functions and distributions on infinite-dimensional compact groups

DOI10.1016/j.jfa.2004.06.006zbMath1074.22001OpenAlexW2073870138MaRDI QIDQ705333

Laurent Saloff-Coste, Alexander D. Bendikov

Publication date: 26 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.06.006

zbMATH Keywords

Gaussian convolution semigroupsDistributionsSmooth function spacesSub-Laplacians

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Groups and semigroups of linear operators (47D03) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Compact groups (22C05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Harmonic analysis on general compact groups (43A77)

Related Items (7)

The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces ⋮ Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups ⋮ Time regularity for local weak solutions of the heat equation on local Dirichlet spaces ⋮ Maximal operators on the infinite-dimensional torus ⋮ A decomposition of Calderón-Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus ⋮ On differentiation of integrals\cr in the infinite-dimensional torus ⋮ On the absolute divergence of Fourier series on the infinite-dimensional torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projective Lie algebra bases of a locally compact group and uniform differentiability
• An explicit Lévy-Hinčin formula for convolution semigroups on locally compact groups
• Potential theory on the infinite dimensional torus
• Dirichlet forms and symmetric Markov processes
• Potential theory on infinite-dimensional Abelian groups. Transl. from the Russian by Carol Regher
• Invariant local Dirichlet forms on locally compact groups
• Potential theory on Hilbert space
• On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces
• Gaussian bounds for derivatives of central Gaussian semigroups on compact groups
• Semi-Groups of Measures on Lie Groups
• The structure of locally compact groups and Hilbert’s Fifth Problem
• Hypoelliptic Bi-Invariant Laplacians on Infinite Dimensional Compact Groups
• Elliptic diffusions on infinite products.
• On the hypoellipticity of sub-Laplacians on in?nite dimensional compact groups
• L'algèbre de Lie des gradients itérés d'un générateur markovien---développements de moyennes et entropies
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• An Extension of Weyl's Lemma to Infinite Dimensions
• The structure of compact groups. A primer for the student -- a handbook for the expert
• Central Gaussian semigroups of measures with continuous density

This page was built for publication: Spaces of smooth functions and distributions on infinite-dimensional compact groups