Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk

DOI10.1016/j.bulsci.2009.07.001zbMath1185.31006OpenAlexW2074630927MaRDI QIDQ1041170

Habib Ouerdiane, Hélène Airault

Publication date: 1 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.07.001

zbMATH Keywords

Laplace-Beltrami operatorOrnstein-Uhlenbeck operatorPoincaré diskunitarizing measures

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12)

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Cites Work

• Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane
• Stochastic calculus of variations on complex line bundle and construction of unitarizing measures for the Poincaré disk
• Unitarizing measure: The Heisenberg algebra, the Virasoro algebra
• Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle
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