Norms of characters and lacunarity for compact Lie groups

DOI10.1016/0022-1236(79)90057-0zbMath0404.43007OpenAlexW2001256692MaRDI QIDQ1256684

Anthony H. Dooley

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90057-0

zbMATH Keywords

Compact Lie GroupsLacunary SetsP-Norms of Irreducible Characters

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Lacunary series of trigonometric and other functions; Riesz products (42A55) Character groups and dual objects (43A40)

Related Items (8)

A Cohen Type Inequality for Compact Lie Groups ⋮ Entropic uncertainty relations under localizations on discrete quantum groups ⋮ Estimates from below for Lebesgue constants of Fourier series on compact Lie groups ⋮ Norms of zonal spherical functions and Fourier series on compact symmetric spaces ⋮ Continuous Measures and Lacunarity on Hypergroups ⋮ Norms of characters and Fourier series on compact Lie groups ⋮ \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras ⋮ Central Fourier analysis for Lorentz spaces on compact Lie groups

Cites Work

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• On local central lacunary sets for compact Lie groups
• Lacunary Fourier series on compact Lie groups
• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Polyhedral Summability of Fourier Series on Compact Lie Groups
• Introduction to Lie Algebras and Representation Theory

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