Infinitely divisible probability measures on a discrete Gelfand pair. (English) Zbl 0673.60010
Conditions are exhibited under which every infinitely divisible probability measure \(\mu\) on a discrete Gelfand pair (G,K) is of Poisson type. Of special interest appears to be the existence of idempotent factors of \(\mu\). They can be computed in special cases, for example in the case of the Gelfand pair arising from the m-cube.
Reviewer: H.Heyer
MSC:
| 60B15 | Probability measures on groups or semigroups, Fourier transforms, factorization |
| 60B05 | Probability measures on topological spaces |
| 43A05 | Measures on groups and semigroups, etc. |
| 43A90 | Harmonic analysis and spherical functions |
References:
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