Estimates for spectral projection operators of the sub-Laplacian on the Heisenberg group

DOI10.1007/BF02788034zbMath0884.22004OpenAlexW2049050746MaRDI QIDQ1361071

Jingzhi Tie, Der-Chen E. Chang

Publication date: 1 April 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788034

zbMATH Keywords

operatorsLaguerre functionsHeisenberg groupLie algebraharmonic analysissub-Laplaciansymbolic tensor calculus

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

The Laguerre calculus on the nilpotent Lie groups of step two ⋮ Laguerre expansion on the Heisenberg group and Fourier-Bessel transform on \(\mathbb C^n\) ⋮ Pompeiu problem on product of Heisenberg groups ⋮ Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group ⋮ Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group ⋮ The heat kernel of sub-Laplace operator on nilpotent Lie groups of step two ⋮ Fundamental solutions for Hermite and subelliptic operators ⋮ A note on Hermite and subelliptic operators

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