CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY
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Publication:4467386
DOI10.1142/S0219025703001456zbMath1043.60068OpenAlexW2000153311MaRDI QIDQ4467386
Laurent Saloff-Coste, Alexander D. Bendikov
Publication date: 9 June 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025703001456
Brownian motion (60J65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (3)
Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups ⋮ Central Gaussian semigroups of measures with continuous density ⋮ Ultracontractivity and embedding into \(L^\infty\)
Cites Work
- 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
- Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group
- Potential theory on the infinite dimensional torus
- On Brownian and Poissonian convolution semigroups on the infinite dimensional torus
- Precise estimates on the rate at which certain diffusions tend to equilibrium
- Some dichotomy results for central Gaussian convolution semigroups on compact groups
- Potential theory on infinite products and locally compact groups
- Absolut-Stetigkeit und Träger von Gauß-Verteilungen auf lokalkompakten Gruppen
- Symmetric harmonic groups and translation invariant Dirichlet spaces
- 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
- Markov processes and partial differential equations on a group: the space-homogeneous case
- On the relation between Gaussian measures and convolution semigroups of local type.
- Théorie du potentiel sur les produits infinis et les groupes localement compacts
- REGULARIZED EULER–POINCARÉ NUMBER OF THE INFINITE-DIMENSIONAL TORUS
- Probability Distributions on Topological Groups
- Central Gaussian semigroups of measures with continuous density
- On the absolute continuity of Gaussian measures on locally compact groups
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