Densities and differentiability properties of Gauss semigroups on a Lie group
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- by Eberhard Siebert PDF
- Proc. Amer. Math. Soc. 91 (1984), 298-305 Request permission
Abstract:
We consider an absolutely continuous Gauss semigroup on a connected Lie group. Integrability and boundedness properties for the corresponding densities are established. Moreover it is shown that the Gauss measures transform integrable functions into infinitely differentiable solutions of certain partial differential equations. Finally, we prove that the semigroup acts on many Banach spaces as a differentiable operator semigroup.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 298-305
- MSC: Primary 60B15; Secondary 43A05, 47D05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740190-5
- MathSciNet review: 740190