A Weyl pseudodifferential calculus associated with exponential weights on \(\mathbb{R}^d\)

DOI10.1215/00192082-8886959OpenAlexW3158273560WikidataQ115517617 ScholiaQ115517617MaRDI QIDQ2039724

Sean Harris

Publication date: 5 July 2021

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04572

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05)

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel
• Optimal angle of the holomorphic functional calculus for the Ornstein-Uhlenbeck operator
• The weyl calculus of pseudo-differential operators
• Analysis in Banach Spaces
• The Weyl calculus for group generators satisfying the canonical commutation relations
• The Weyl calculus with respect to the Gaussian measure and restricted Lp-Lq boundedness of the Ornstein-Uhlenbeck semigroup in complex time
• Functional calculus for the Ornstein-Uhlenbeck operator

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