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Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk - MaRDI portal

Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk (Q1041170)

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scientific article; zbMATH DE number 5641307
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Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk
scientific article; zbMATH DE number 5641307

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    Ornstein-Uhlenbeck operators and unitarizing measures in the Poincaré disk (English)
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    1 December 2009
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    The Laplace-Beltrami and Ornstein-Uhlenbeck operators in polar coordinates are investigated. The relation between unitarizing measures and invariant measures for the Ornstein-Uhlenbeck operator in the Poincare disk is discussed. The Ornstein-Uhlenbeck operator in terms of the vector fields of the modular representation is studied.
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    Ornstein-Uhlenbeck operator
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    Laplace-Beltrami operator
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    unitarizing measures
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    Poincaré disk
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