The concentration function problem for $G$-spaces

author

  • M.S. Mojahedi Moakhar Department of Mathematics‎, ‎Tarbiat Modares University‎, ‎Tehran 14115-134‎, ‎Iran.
Abstract:

‎In this note‎, ‎we consider the concentration function problem for a continuous action of a locally compact group $G$ on a locally compact Hausdorff space $X$‎. ‎We prove a necessary and sufficient condition for the concentration functions of a‎ ‎spread-out irreducible probability measure $mu$ on $G$ to converge to zero.

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Journal title

volume 43  issue 3

pages  763- 769

publication date 2017-06-01

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