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• W2029690827 abstract "We investigate the induced action of convolution semigroups of probability measures on Lie groups on the L2-space of Haar measure. Necessary and sufficient conditions are given for the infinitesimal generator to be self-adjoint and the associated symmetric Dirichlet form is constructed. We show that the generated Markov semigroup is trace-class if and only if the measures have a square-integrable density. Two examples are studied in some depth where the spectrum can be explicitly computed, these being the n-torus and Riemannian symmetric pairs of compact type." @default.
• W2029690827 created "2016-06-24" @default.
• W2029690827 creator A5051980041 @default.
• W2029690827 date "2008-12-18" @default.
• W2029690827 modified "2023-10-16" @default.
• W2029690827 title "Some L 2 properties of semigroups of measures on Lie groups" @default.
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• W2029690827 doi "https://doi.org/10.1007/s00233-008-9130-0" @default.
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