Invariant measures for the continual Cartan subgroup

DOI10.1016/J.JFA.2008.06.015zbMath1187.37007arXiv0806.2215OpenAlexW2042237320MaRDI QIDQ999863

Anatoly M. Vershik

Publication date: 10 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2215

zbMATH Keywords

infinite-dimensional Lebesgue measureconic Poisson-Dirichlet measurescontinual Cartan subgroup

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations and dynamical systems (37A15) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (5)

The Poisson model of the Fock space and representations of current groups ⋮ Nonunitary representations of the groups of \(U(p, q)\)-currents for \(q\geq p > 1\) ⋮ Laplace operators on the cone of Radon measures ⋮ Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)) ⋮ Integral models of unitary representations of current groups with values in semidirect products

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