Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension
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Publication:2905536
DOI10.4064/bc96-0-1zbMath1260.60157OpenAlexW2314721152WikidataQ115218201 ScholiaQ115218201MaRDI QIDQ2905536
Hélène Airault, Habib Ouerdiane
Publication date: 27 August 2012
Published in: Banach Center Publications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/bc96-0-1
Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
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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 ⋮ Identities for vector fields in the infinitesimal representation of the symplectic group into the Siegel disk of complex symmetric matrices ⋮ Stochastic stability of invariant measures: The 2D Euler equation ⋮ The weighted composition operators as intertwining operators for holomorphic Lie group representations
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