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Unitary representations of group of diffeomorphisms of space Rn, N ≥ 2

✍ Scribed by R. S. Ismagilov


Publisher
Springer US
Year
1975
Tongue
English
Weight
143 KB
Volume
9
Category
Article
ISSN
0016-2663

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Quasi-invariant Measures on the Group of
✍ Hiroaki Shimomura 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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