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Unitary representations of the group of diffeomorphisms of a circle

✍ Scribed by R. S. Ismagilov

Publisher: Springer US
Year: 1971
Tongue: English
Weight: 599 KB
Volume: 5
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01078127

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## Abstract The method of coadjoint orbits is developed for the group of real analytic germs of diffeomorphisms φ with φ(0) = 0 and φ′(0) = 1. The form of all infinite dimensional coadjoint orbits is described. Classes __U__ of unitary representations are constructed. In the case __n__ = 2 these re