41 citations · 71 across the 19 of their papers we have counts for
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math.PR2011
Smoothness of Densities on Compact Lie Groups
David Applebaum
We give necessary and sufficient conditions for both square integrability and smoothness for densities of a probability measure on a compact connected Lie group.
math.PR2011★ 1 cited
Aspects of Recurrence and Transience for Levy Processes in Transformation Groups and Non-Compact Riemannian Symmetric Pairs
David Applebaum
We study recurrence and transience for Lévy processes induced by topological transformation groups. In particular the transience-recurrence dichotomy in terms of potential measures…
math.PR2011
Pseudo Differential Operators and Markov Semigroups on Compact Lie Groups
David Applebaum
We extend the Ruzhansky-Turunen theory of pseudo differential operators on compact Lie groups into a tool that can be used to investigate group-valued Markov processes in the spiri…