On the orthogonality of generalized eigenspaces for the Ornstein-Uhlenbeck operator

DOI10.1007/s00013-021-01637-6OpenAlexW3136186849MaRDI QIDQ2232145

Paolo Ciatti, Peter Sjögren, Valentina Casarino

Publication date: 4 October 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09698

zbMATH Keywords

orthogonalityOrnstein-Uhlenbeck operatorGaussian measuregeneralized eigenspaces

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Groups and semigroups of linear operators (47D03) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators

Cites Work

• Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
• Riesz transforms of a general Ornstein-Uhlenbeck semigroup
• The maximal operator of a normal Ornstein-Uhlenbeck semigroup is of weak type (1,1)
• THE SECTOR OF ANALYTICITY OF THE ORNSTEIN–UHLENBECK SEMIGROUP ON $L^{p}$ SPACES WITH RESPECT TO INVARIANT MEASURE
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