Unitarising measures for the representations of affine group and associated invariant operators

DOI10.1016/j.bulsci.2013.04.005zbMath1360.58007OpenAlexW2049399063MaRDI QIDQ390553

Hélène Airault, Souheyl Jendoubi, Habib Ouerdiane

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.04.005

zbMATH Keywords

invariant measuresaffine groupOrnstein-Uhlenbeck operatorsunitary holomorphic representations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Diffusion processes and stochastic analysis on manifolds (58J65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Complex spaces with a group of automorphisms (32M99) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

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Lifted infinitesimal holomorphic representation for the \(n\)-dimensional complex hyperbolic ball and for Cartan domains of type I ⋮ Ornstein-Uhlenbeck operators and holomorphic representations for a class of bounded symmetric domains ⋮ Representations of the infinite-dimensional p-adic affine group ⋮ The weighted composition operators as intertwining operators for holomorphic Lie group representations

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