Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures
β Scribed by Natalia Tsilevich; Anatoly Vershik
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 491 KB
- Volume
- 329
- Category
- Article
- ISSN
- 0764-4442
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π SIMILAR VOLUMES
We define a one-parameter family L h of sigma-finite (finite on compact sets) measures in the space of distributions. These measures are equivalent to the laws of the classical gamma processes and invariant under an infinite-dimensional abelian group of certain positive multiplicators. This family o
Let M be a smooth manifold and Diff 0 (M) the group of all smooth diffeomorphisms on M with compact support. Our main subject in this paper concerns the existence of certain quasi-invariant measures on groups of diffeomorphisms, and the denseness of C . -vectors for a given unitary representation U