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Tail behavior for semigroups of measures on groups
Authors:Tomasz Byczkowski  Balram S Rajput
Institution:(1) Institute of Mathematics, Wroclaw Technical University, 50-370 Wroclaw;(2) University of Tennessee, 37996-1300 Knoxville, Tennessee;(3) Department of Mathematics, the University of Tennessee, 37996-1300 Knoxville, Tennessee
Abstract:Let (mgrt)t>0 be a convolution semigroup of probability measures on a measurable group (G, bernou). In this paper, we provide precise information about the asymptotic behavior of mgrt{q>s, whereq is a measurable seminorm and (mgrt)t>0 isq-continuous.
Keywords:Convolution semigroups  infinitely divisible probability measures  tail behavior
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