Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups

DOI10.1016/j.bulsci.2021.103015zbMath1471.35350OpenAlexW3175421451WikidataQ115359939 ScholiaQ115359939MaRDI QIDQ2046103

Shyam Swarup Mondal, Vishvesh Kumar

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103015

zbMATH Keywords

Hilbert-Schmidt operatorstrace class operators\((\mu,\nu)\)-Weyl transforms

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30)

Related Items (5)

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 ⋮ Quantum harmonic analysis on locally compact groups ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the affine Poincaré group ⋮ A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups

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