Norms of characters and Fourier series on compact Lie groups

DOI10.1016/0022-1236(82)90045-3zbMath0494.22009OpenAlexW2008855632MaRDI QIDQ1169046

Paolo M. Soardi, Giancarlo Travaglini, Saverio Giulini

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90045-3

zbMATH Keywords

charactersnormscompact Lie groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05)

Related Items (11)

Sharp estimates for Lebesgue constants on compact Lie groups ⋮ On almost everywhere divergence of Bochner-Riesz means on compact Lie groups ⋮ Entropic uncertainty relations under localizations on discrete quantum groups ⋮ The Translation Invariant Uniform Approximation Property for Compact Groups ⋮ Lebesgue Constants for Jacobi Expansions ⋮ Norms of zonal spherical functions and Fourier series on compact symmetric spaces ⋮ \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras ⋮ A simple proof of the divergence of Fourier series on compact connected semisimple Lie groups ⋮ On the asymptotics of the Bochner-Riesz kernel on compact Lie groups ⋮ Norms of harmonic projection operators on compact Lie groups ⋮ Central Fourier analysis for Lorentz spaces on compact Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On limits of sequences of operators
• Estimates from below for Lebesgue constants of Fourier series on compact Lie groups
• On local central lacunary sets for compact Lie groups
• Norms of characters and lacunarity for compact Lie groups
• Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
• Lacunary Fourier series on compact Lie groups
• Central lacunary sets
• Polyhedral Summability of Fourier Series on Compact Lie Groups
• Localisation des sommes de Riesz sur un groupe de Lie compact
• A Cohen Type Inequality for Compact Lie Groups
• Lattice Points and Lie Groups. I
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Norms of characters and Fourier series on compact Lie groups