Electronic Resource
Springer
Acta applicandae mathematicae
18 (1990), S. 283-296
ISSN:
1572-9036
Keywords:
60B15
;
43A05
;
Convolution semigroups
;
transience criterion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The analytic proof due to M. Itô of the Kesten-Ornstein transience criterion for continuous convolution semigroups of nonnegative contraction measures on a compactly generated Abelian locally compact group has been reworked and given a self-contained form. The new proof still relies on the existence of the equilibrium measure but dispenses with the complete maximum principle.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00049130
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