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Quasi-invariant measures on sets of piecewise smooth homeomorphisms of closed intervals and circles and representations of diffeomorphism groups

✍ Scribed by A. A. Dosovitskii


Book ID
110210740
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
759 KB
Volume
18
Category
Article
ISSN
1061-9208

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Quasi-invariant Measures on the Group of
✍ Hiroaki Shimomura πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 242 KB

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