Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds

DOI10.1016/0022-1236(91)90070-LzbMath0726.58048MaRDI QIDQ804053

Leonardo Colzani, Giancarlo Travaglini

Publication date: 1991

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

eigenvalueeigenfunction expansionoperator normcompact manifoldRiesz kernelelliptic differential operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (9)

Riesz means on locally symmetric spaces ⋮ Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ Oscillating multipliers on Lie groups and Riemannian manifolds ⋮ Riesz summability of multiple Hermite series in \(L^ p\) spaces ⋮ Riesz means on symmetric spaces ⋮ Riesz means on Lie groups and riemannian manifolds of nonnegative curvature ⋮ Wave operator on compact manifolds ⋮ Riesz means on graphs and discrete groups ⋮ Optimal estimate of an oscillatory operator on compact manifolds

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