Bernstein's theorem for compact groups

DOI10.1016/0022-1236(80)90084-1zbMath0433.43006OpenAlexW2019997097MaRDI QIDQ1139239

George Benke

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90084-1

zbMATH Keywords

Lipschitz functionsFourier algebraBernstein's theorem

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Compact groups (22C05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Trigonometric approximation theory in compact totally disconnected groups
• Approximation theory, absolute convergence, and smoothness of random Fourier series on compact Lie groups
• Smoothness and absolute convergence of Fourier series in compact totally disconnected groups
• A Sufficient Condition for an Integral Operator to Have a Trace.
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