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Quasi-Invariant Measures and Irreducible Representations of the Inductive Limit of Special Linear Groups

โœ Scribed by A. V. Kosyak

Book ID
111581739
Publisher
Springer US
Year
2004
Tongue
English
Weight
93 KB
Volume
38
Category
Article
ISSN
0016-2663

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Quasi-invariant Measures on the Group of
Quasi-invariant Measures on the Group of Diffeomorphisms and Smooth Vectors of Unitary Representations
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