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Unitary representations of the group of diffeomorphisms of a circle

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Publication:2551994
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DOI10.1007/BF01078127zbMath0235.58006MaRDI QIDQ2551994

R. S. Ismagilov

Publication date: 1972

Published in: Functional Analysis and its Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)


Related Items (5)

Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle ⋮ Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass. II ⋮ Quasi-invariant measures on sets of piecewise smooth homeomorphisms of closed intervals and circles and representations of diffeomorphism groups ⋮ Some measures on the set of piecewise smooth circle homeomorphisms and related representations of the circle diffeomorphism group ⋮ Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations



Cites Work

  • DYNAMICAL SYSTEMS, FACTORS AND REPRESENTATIONS OF GROUPS




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