Quasi-invariant measures on sets of piecewise smooth homeomorphisms of closed intervals and circles and representations of diffeomorphism groups

DOI10.1134/S1061920811030022zbMath1256.28007MaRDI QIDQ455588

A. A. Dosovitskii

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

circleunit intervalactionquasi-invariant measurespiecewise smooth homeomorphismsrepresentations of diffeomorphism groups

Mathematics Subject Classification ID

Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (1)

Family of measures on a space of curves that are quasi-invariant with respect to some action of diffeomorphisms group

Cites Work

• Unnamed Item
• Some measures on the set of piecewise smooth circle homeomorphisms and related representations of the circle diffeomorphism group
• On circle diffeomorphisms with discontinuous derivatives and quasi-invariance subgroups of Malliavin-Shavgulidze measures
• Irreducible regular Gaussian representations of the groups of the interval and circle diffeomorphisms
• Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle.
• Uniqueness of ground states for Schrödinger operators over loop groups
• Unitary representations of the group of diffeomorphisms of a circle
• REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS

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