Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces

DOI10.1007/BF01766309zbMath0796.43007OpenAlexW2057560852MaRDI QIDQ1191345

Giancarlo Mauceri, Saverio Giulini

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766309

zbMATH Keywords

convolutionLaplace-Beltrami operatorRiesz meansalmost everywhere convergencespherical Fourier transformRiemannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

Riesz means on locally symmetric spaces ⋮ Riesz means on symmetric spaces ⋮ Riesz means on Lie groups and riemannian manifolds of nonnegative curvature ⋮ Almost everywhere convergence of Riesz means on noncompact symmetric spaceSL(3,H)/Sp(3) ⋮ Riesz means on homogeneous trees ⋮ Bochner-Riesz means on symmetric spaces ⋮ An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type

Cites Work

• Harmonic analysis on semigroups
• On the convergence of Riesz means on compact manifolds
• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• Riesz means for the eigenfunction expansions for a class of hypoelliptic differential operators
• Die Resolvente von Delta auf symmetrischen Räumen vom nichtkompakten Typ
• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• Almost Everywhere Summability on Nilmanifolds
• Mean Convergence of Fourier Series on Compact Lie Groups
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