Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group

DOI10.1016/J.JMAA.2020.123936zbMath1445.47036arXiv1902.09869OpenAlexW3005109974MaRDI QIDQ777161

Vishvesh Kumar, Aparajita Dasgupta

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09869

zbMATH Keywords

pseudo-differential operatorstrace class operators\(j\)-Weyl transformabstract Heisenberg groupHilbert Schmidt operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Pseudodifferential operators (47G30)

Related Items (9)

Boundedness and nuclearity of pseudo-differential operators on homogeneous trees ⋮ Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups ⋮ L²-L^p estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group ⋮ Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn ⋮ Nuclearity of operators related to finite measure spaces ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups ⋮ Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups

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