Some measures on the set of piecewise smooth circle homeomorphisms and related representations of the circle diffeomorphism group

DOI10.1134/S0001434610110325zbMath1234.28015OpenAlexW2011372529MaRDI QIDQ650365

A. A. Dosovitskii

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610110325

zbMATH Keywords

irreducible representationquasi-invariant measurecircle homeomorphismcircle diffeomorphism group

Mathematics Subject Classification ID

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

Related Items

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

Cites Work

• 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
• Unitary representations of the group of diffeomorphisms of a circle