Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group

DOI10.1007/BF01299300zbMath0477.60008WikidataQ115393731 ScholiaQ115393731MaRDI QIDQ1160979

Eberhard Siebert

Publication date: 1982

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178070

zbMATH Keywords

connected Lie groupadmissible translatesGauss semigroupgroup of affine mappingshypoelliptic differential operator

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Densities and Differentiability Properties of Gauss Semigroups on a Lie Group ⋮ The accuracy of Gaussian approximations in nilpotent Lie groups ⋮ Calculation of Fourier transforms of a Brownian motion on the Heisenberg group using splitting formulas ⋮ Supports of Gauss measures on semisimple Lie groups ⋮ The Rockland condition for nondifferential convolution operators ⋮ On the supports of Gauss measures on algebraic groups ⋮ Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group ⋮ Curvatures of homogeneous sub-Riemannian manifolds ⋮ On the sample paths of Brownian motions on compact infinite dimensional groups ⋮ Invariant local Dirichlet forms on locally compact groups ⋮ Rate of convergence in CLT on stratified groups ⋮ Gaussian bounds for derivatives of central Gaussian semigroups on compact groups ⋮ Central Gaussian semigroups of measures with continuous density ⋮ CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY ⋮ On the supports of absolutely continuous Gauss measures on connected Lie groups

Cites Work

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• Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group
• Einige Bemerkungen zu den Gauß-Verteilungen auf lokalkompakten Abelschen Gruppen
• Potential theory on the infinite dimensional torus
• Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen
• Hypoelliptic second order differential equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Some remarks on gaussian distributions on a lie group
• Commutative subalgebra of 𝐿¹(𝐺) associated with a subelliptic operator on a Lie group 𝐺
• A classification of the second order degenerate elliptic operators and its probabilistic characterization