Hierarchical Weyl transforms and the heat semigroup of the hierarchical twisted Laplacian

DOI10.1007/S11868-010-0004-3zbMath1231.47046OpenAlexW1998616607MaRDI QIDQ601087

Shahla Molahajloo, Man-Wah Wong

Publication date: 3 November 2010

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0004-3

zbMATH Keywords

Hermite functionsheat semigrouptwisted convolutionshierarchical twisted Laplacianhierarchical Weyl transformsmultilinear Fourier-Wigner transformsmultilinear Wigner transforms

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Multilinear and polynomial operators (47H60) Pseudodifferential operators (47G30)

Related Items (3)

On the Weinstein-Wigner transform and Weinstein-Weyl transform ⋮ The Schrödinger kernel of the twisted Laplacian and cyclic models ⋮ Metaplectic Equivalence of the Hierarchical Twisted Laplacian

Cites Work

• Multilinear localization operators
• Weyl transforms
• Harmonic analysis on the Heisenberg group
• The heat equation for the Hermite operator on the Heisenberg group
• Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator
• Spectral Properties of a Class of Generalized Landau Operators
• Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group
• Weyl transforms and a degenerate elliptic partial differential equation
• Modulation space estimates for multilinear pseudodifferential operators
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