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The structure on invariant measures ofC1generic diffeomorphisms

โœ Scribed by Wen Xiang Sun; Xue Ting Tian


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
191 KB
Volume
28
Category
Article
ISSN
1439-7617

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Quasi-invariant Measures on the Group of
โœ Hiroaki Shimomura ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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