Invariant or quasi-invariant probability measures for infinite dimensional groups. II: Unitarizing measures or Berezinian measures

DOI10.1007/s11537-008-0752-5zbMath1235.60059OpenAlexW3008249741MaRDI QIDQ1043872

Paul Malliavin

Publication date: 9 December 2009

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-008-0752-5

zbMATH Keywords

Jordan curvesVirasoro algebraunivalent functionsinfinite dimensional Siegel diskKirillov representation

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Stochastic calculus of variations and the Malliavin calculus (60H07) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (7)

Lifted infinitesimal holomorphic representation for the \(n\)-dimensional complex hyperbolic ball and for Cartan domains of type I ⋮ Unitarising measures for the representations of affine group and associated invariant operators ⋮ Ornstein-Uhlenbeck operators and holomorphic representations for a class of bounded symmetric domains ⋮ Positive energy representations of Sobolev diffeomorphism groups of the circle ⋮ Identities for vector fields in the infinitesimal representation of the symplectic group into the Siegel disk of complex symmetric matrices ⋮ Jean-Louis Koszul and the Elementary Structures of Information Geometry ⋮ Stochastic integrals and Brownian motion on abstract nilpotent Lie groups

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