Almost Everywhere Summability on Nilmanifolds

DOI10.2307/1999179zbMath0516.43010OpenAlexW4238607715MaRDI QIDQ3663822

J. W. Jenkins, Andrzej Hulanicki

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999179

zbMATH Keywords

commutative Banach algebramaximal operatoreigenfunctionsHermite expansionweightnorm convergencespectral resolutiondegree of smoothnessdiscrete cocompact subgrouphomogeneous sublaplacianBocher-Riesz meansG-invariant probability measurestratified, nilpotent Lie group

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Summability methods on groups, semigroups, etc. (43A55)

Related Items (17)

A General Multiplier Theorem ⋮ \(H^ p\)-multipliers on stratified groups ⋮ Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means ⋮ Unnamed Item ⋮ Summability of Hermite Expansions. II ⋮ Functional calculus for infinitesimal generators of holomorphic semigroups ⋮ Riesz means on Lie groups and riemannian manifolds of nonnegative curvature ⋮ A.e. convergence of spectral sums on Lie groups ⋮ Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions ⋮ Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces ⋮ Spectral Multipliers on Lie Groups of Polynomial Growth ⋮ Oscillating multipliers for some eigenfunction expansions ⋮ Mean Summability Methods for Laguerre Series ⋮ Marcinkiewicz multipliers on the Heisenberg group ⋮ Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth ⋮ Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups ⋮ Almost everywhere convergence of spectral sums for self-adjoint operators

Cites Work

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• Poisson Integrals for Hermite and Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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