Holomorphicity of a class of semigroups of measures operating on $L^{p}(G/H)$
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- by Tomasz Przebinda PDF
- Proc. Amer. Math. Soc. 87 (1983), 637-643 Request permission
Abstract:
In the present paper we consider the class of stable semigroups of measures on a Lie group $G$. This class contains the Gaussian semigroups. We prove that under certain strongly continuous representations of $G$ acting in ${L^p}(G/H)$, $1 \leqslant p < \infty$, these semigroups are holomorphic and uniformly bounded.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 637-643
- MSC: Primary 47D05; Secondary 22E30, 43A10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0687632-0
- MathSciNet review: 687632