Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators

DOI10.1007/978-3-7643-8969-7_1zbMath1210.47070OpenAlexW142203598MaRDI QIDQ3613193

Maurice A. De Gosson

Publication date: 12 March 2009

Published in: New Developments in Pseudo-Differential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8969-7_1

zbMATH Keywords

hypoellipticitydegenerate elliptic operatorsShubin symbolsphase space Weyl calculus

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of partial differential operators (47F05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Related Items (7)

Hierarchical Weyl transforms and the heat semigroup of the hierarchical twisted Laplacian ⋮ The heat kernel of the \(\tau \)-twisted Laplacian ⋮ The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group ⋮ Metaplectic Equivalence of the Hierarchical Twisted Laplacian ⋮ The Dirichlet divisor problem, traces and determinants for complex powers of the twisted bi-Laplacian ⋮ Gaussian distributions and phase space Weyl-Heisenberg frames ⋮ My mathematical connections with Luigi Rodino

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