Jackson's theorem for compact connected Lie groups

DOI10.1016/0021-9045(88)90102-5zbMath0704.43007OpenAlexW2057824183WikidataQ115365289 ScholiaQ115365289MaRDI QIDQ916956

Donald I. Cartwright, Krzysztof Kucharski

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90102-5

zbMATH Keywords

modulus of continuityLebesgue constantscompact connected Lie groupcentral trigonometric polynomialFourier partial sums

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (5)

Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups ⋮ Approximation by Riesz means on the rotation group SO(3) ⋮ Approximation of eigenfunctions of elliptic differential operators. ⋮ Approximation on the rotation group SO(3)

Cites Work

• Best conditions for the norm convergence of Fourier series
• Sharp estimates for Lebesgue constants on compact Lie groups
• Bernstein's theorem for compact, connected Lie groups
• Darstellungen von Liegruppen und Approximationsprozesse auf Banachräumen.
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