Heat kernels and Green functions of sub-Laplacians on Heisenberg groups with multi-dimensional center

DOI10.1051/mmnp/2018030OpenAlexW2892242465MaRDI QIDQ4615697

Shahla Molahajloo, Man-Wah Wong

Publication date: 29 January 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f77425817d0f95920321ef639e948d36b6fa2231

zbMATH Keywords

Green functionssub-Laplacianheat kernelstwisted Laplacians\(\lambda\)-Weyl transforms\(\lambda\)-Wigner transformsHeisenberg group with multi-dimensional center

Mathematics Subject Classification ID

Pseudodifferential operators (47G30)

Cites Work

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• Geometric properties of Heisenberg-type groups
• Weyl transforms
• Hilbert-Schmidt and trace class pseudo-differential operators on the Heisenberg group
• Weyl transforms for H-type groups
• Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Pseudo-differential Operators on Non-isotropic Heisenberg Groups with Multi-dimensional Centers

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