Fourier–Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group

DOI10.4064/BC88-0-6zbMath1206.43006OpenAlexW2319140647MaRDI QIDQ3567696

Aparajita Dasgupta, Man-Wah Wong

Publication date: 17 June 2010

Published in: Linear and Non-Linear Theory of Generalized Functions and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc88-0-6

zbMATH Keywords

Heisenberg grouptwisted convolutionsub-LaplacianLiouville's theoremglobal hypoellipticity

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) General theory of partial differential operators (47F05) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30) Subelliptic equations (35H20)

Related Items (2)

The inverse, the heat semigroup, Liouville's theorems and the spectrum for the Grushin operator ⋮ The spectrum of the sub-Laplacian on the Heisenberg group

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