On the heredity of Hun and Hungarian property |
| |
Authors: | András Zempléni |
| |
Institution: | (1) Department of Probability Theory, L. Eötvös University, Budapest, Hungary |
| |
Abstract: | Denote byD(S) the convolution semigroup of compact-regular probability measures on a topological semigroupS. Hincin's classical decomposition theorems are extended to finite point processes on a completely regular topological space and to the convolution semigroupsD(D(G)), D(D(D(G))),... whereG is a locally compact Hausdorff group. The paper applies the Hun-Hungarian semigroup theory approach of Ruzsa and Székely; the proofs also follow this abstract setting. |
| |
Keywords: | Topological semigroups regular probability measures point processes decompositions infinite divisibility |
本文献已被 SpringerLink 等数据库收录! |