Densities and Differentiability Properties of Gauss Semigroups on a Lie Group

DOI10.2307/2044646zbMath0548.60008OpenAlexW4234008510MaRDI QIDQ3339838

Eberhard Siebert

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044646

zbMATH Keywords

Lie groupweakly sequentially complete Banach spaceGaussian semigroup of probabilitiesgenerator of the contraction semigroup

Mathematics Subject Classification ID

Gaussian processes (60G15) General theory of partial differential operators (47F05) Measures on groups and semigroups, etc. (43A05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Curvatures of homogeneous sub-Riemannian manifolds

Cites Work

• Analytic vectors
• On semigroups generated by differential operators on Lie groups
• Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group
• Absolute continuity, singularity, and supports of Gauss semigroups on a Lie group
• Representations of differential operators on a Lie group
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
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