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  • 1
    Electronic Resource
    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
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