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Fundamental solutions for powers of the Heisenberg sub-Laplacian

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Publication:1320974
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zbMath0789.22012MaRDI QIDQ1320974

Gail Ratcliff, Chal Benson, Anthony H. Dooley

Publication date: 14 June 1994

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

spherical functionsHeisenberg groupsub-Laplacian operatorexplicit fundamental solutionstempered fundamental solution


Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)


Related Items

On fundamental solution for powers of the sub-Laplacian on the Heisenberg group ⋮ Feeling the heat in a group of Heisenberg type ⋮ Powers of sub-Laplacian on step two nilpotent Lie groups ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group ⋮ Explicit fundamental solution for the operator \(L+\alpha |T|\) on the Gelfand pair \((\mathbb{H}_n,U(n))\).



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