On the asymptotics of the Bochner-Riesz kernel on compact Lie groups

DOI10.1016/0022-1236(86)90104-7zbMath0615.43006OpenAlexW2043953399MaRDI QIDQ1820950

Bernd Dreseler

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90104-7

zbMATH Keywords

Poisson summation formulacompact Lie groupsBochner-Riesz kernel

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30)

Related Items (3)

Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups ⋮ Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ Estimates for Riesz kernels of eigenfunction expansions of elliptic differential operators on compact manifolds

Cites Work

• On certain exponential sums arising in multiple Fourier series
• Best conditions for the norm convergence of Fourier series
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• A unified approach to certain counterexamples in approximation theory in connection with a uniform boundedness principle with rates
• Norms of zonal spherical functions and Fourier series on compact symmetric spaces
• Norms of characters and Fourier series on compact Lie groups
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• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• Sharp Estimates for Lebesgue Constants
• L p Norms of Certain Kernels on the N-Dimensional Torus
• Mean Convergence of Fourier Series on Compact Lie Groups
• Une formule asymptotique du type Mehler-Heine pour les zonoles d'un espace reimannien symétrique
• PROBLEMS OF CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. II
• Multiplier Transformations on Compact Lie Groups and Algebras
• PROBLEMS OF LOCALIZATION AND CONVERGENCE FOR FOURIER SERIES IN FUNDAMENTAL SYSTEMS OF FUNCTIONS OF THE LAPLACE OPERATOR
• Darstellungen von Liegruppen und Approximationsprozesse auf Banachräumen.
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