Beals-Cordes-type characterizations of pseudodifferential operators

DOI10.1090/S0002-9939-97-03753-2zbMath0868.35149OpenAlexW1852002463MaRDI QIDQ4336643

Michael E. Taylor

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03753-2

zbMATH Keywords

representationcharacterization of pseudodifferential operatorsspace of pseudodifferential operatorssymbols in local coordinates

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (7)

Characterization of pseudodifferential operators in Hölder-Zygmund spaces ⋮ On the differentiable vectors for contragredient representations ⋮ Advances in Dixmier traces and applications ⋮ Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity ⋮ Commutator characterization of periodic pseudodifferential operators ⋮ On a conjectured noncommutative Beals-Cordes-type characterization ⋮ On Pseudo-Differential Operators on Group SU(2)

Cites Work

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• On pseudo-differential operators and smoothness of special Lie-group representations
• Noncommutative microlocal analysis. I
• The inverse function theorem of Nash and Moser
• Smooth tame Fréchet algebras and lie groups of pseudodifferential operators

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