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Abstract: In a convolution semigroup over a locally compact group, measurability of the translation by a fixed element implies continuity. In other words, the measurable centre coincides with the topo...
A Levy Khintchine type representation of convolution semigroups on commutative hypergroups
A Levy Khintchine type representation convolution semigroups commutative hypergroups
2009/9/22
We first study L6vy measures, Poisson and Gaussian
convolution semigroups on commutative hypergroups. Then we present
a Lbvy-Khintchine type representation of a convolution semigroup
(pJ,,, with sy...
Decomposition of convolution semigroups on groups and the 0-1 law
Decomposition of convolution semigroups groups and the 0-1 law
2009/9/22
Let (X (t))a,o be a stochastically continuous symmetric
Levy process with values in a complete separable group G. We denote
by h),,,, the semigroup of one-dimensional distributions of X(t). Suppose
...
