The Weyl calculus for group generators satisfying the canonical commutation relations

zbMath1463.47050arXiv1806.00980MaRDI QIDQ4971911

Pierre Portal, J. M. A. M. van Neerven

Publication date: 13 October 2020

Full work available at URL: https://arxiv.org/abs/1806.00980

zbMATH Keywords

canonical commutation relationstwisted convolutionspectral multiplierspseudo-differential calculus\(H^\infty\)-functional calculusWeyl pairs\(\mathcal{U} MD\) spacestransference \(C_0\)-groups

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Pseudodifferential operators (47G30)

Related Items (5)

\(H^{\infty}\) calculus for submarkovian semigroups on weighted \(L^2\) spaces ⋮ Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices ⋮ Thermal time as an unsharp observable ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ A Weyl pseudodifferential calculus associated with exponential weights on \(\mathbb{R}^d\)

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