Pseudo-differential Operators on Non-isotropic Heisenberg Groups with Multi-dimensional Centers

DOI10.1007/978-3-319-47512-7_2zbMath1377.47019OpenAlexW2584351876MaRDI QIDQ5268873

Shahla Molahajloo

Publication date: 21 June 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-47512-7_2

zbMATH Keywords

Fourier transformsHeisenberg groupHilbert-Schmidt operatorspseudo-differential operatorsSchrödinger representationsWigner transformsWeyl transforms

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30)

Related Items (2)

Localization operator and Weyl transform on reduced Heisenberg group with multidimensional center ⋮ Heat kernels and Green functions of sub-Laplacians on Heisenberg groups with multi-dimensional center

Cites Work

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• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Geometric properties of Heisenberg-type groups
• Weyl transforms
• Harmonic analysis on the Heisenberg group
• \(L^p\)-estimates for pseudo-differential operators on \({\mathbb{Z}^n}\)
• Traces of pseudo-differential operators on \(\mathbb{S }^{n-1}\)
• Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
• Discrete Fourier Analysis
• Wave Kernels of the Twisted Laplacian
• Calculus on Heisenberg Manifolds. (AM-119)
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• The Twisted Laplacian on ℂⁿand the Sub-Laplacian on H_n

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