We prove new estimates for the p norms of irreducible characters of compact Lie groups. These estimates are applied to give negative results on p mean convergence of Fourier series on compact Lie groups. © 1982.
Giulini, S., Soardi, P., Travaglini, G. (1982). Norms of characters and Fourier series on compact Lie groups. JOURNAL OF FUNCTIONAL ANALYSIS, 46(1), 88-101 [10.1016/0022-1236(82)90045-3].
Norms of characters and Fourier series on compact Lie groups
SOARDI, PAOLO MAURIZIO;TRAVAGLINI, GIANCARLO
1982
Abstract
We prove new estimates for the p norms of irreducible characters of compact Lie groups. These estimates are applied to give negative results on p mean convergence of Fourier series on compact Lie groups. © 1982.
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