Polyhedral Summability of Fourier Series on Compact Lie Groups

DOI10.2307/2373834zbMath0421.43009OpenAlexW2326164176WikidataQ115228831 ScholiaQ115228831MaRDI QIDQ3854120

Peter A. Tomas, Robert J. Stanton

Publication date: 1978

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373834

zbMATH Keywords

Fourier series on compact Lie groupspolyhedral summability

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Summability methods on groups, semigroups, etc. (43A55)

Related Items (21)

Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ A geometric proof of the \(L^{2}\)-singular dichotomy for orbital measures on Lie algebras and groups ⋮ Central Sidonicity for compact Lie groups ⋮ A Cohen Type Inequality for Compact Lie Groups ⋮ Sharp results for the mean summability of Fourier series on compact Lie groups ⋮ On almost everywhere divergence of Bochner-Riesz means on compact Lie groups ⋮ Pointwise convergence of Fejér type means ⋮ Unbounded Lebesgue constants on compact groups ⋮ Groups and Symmetries in Numerical Linear Algebra ⋮ Norms of zonal spherical functions and Fourier series on compact symmetric spaces ⋮ Divergent Jacobi Polynomial Series ⋮ Norms of characters and Fourier series on compact Lie groups ⋮ Convergence of Fourier Series Expansion Related to Free Groups ⋮ On pointwise convergence and localizations for Fourier series on compact Lie groups ⋮ Norms of characters and lacunarity for compact Lie groups ⋮ Norms of harmonic projection operators on compact Lie groups ⋮ Central Fourier analysis for Lorentz spaces on compact Lie groups ⋮ On central multipliers for compact Lie groups ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and \(L^p\)-\(L^q\) Fourier multipliers on compact homogeneous manifolds ⋮ Radial Functions and Invariant Convolution Operators ⋮ Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions

This page was built for publication: Polyhedral Summability of Fourier Series on Compact Lie Groups