Born-Jordan pseudodifferential operators with symbols in the Shubin classes

DOI10.1090/btran/16zbMath1387.35640arXiv1603.03403OpenAlexW2963610345MaRDI QIDQ5367075

Elena Cordero, Fabio Nicola, Maurice A. De Gosson

Publication date: 12 October 2017

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03403

zbMATH Keywords

Weyl quantizationpseudodifferential operatorsBorn-Jordan quantizationShubin classes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (7)

Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Cohen class of time-frequency representations and operators: boundedness and uncertainty principles ⋮ On Density Operators with Gaussian Weyl Symbols ⋮ Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces ⋮ On accumulated Cohen's class distributions and mixed-state localization operators

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