Absolute convergence of Fourier series on finite-dimensional groups

DOI10.4064/cm-46-1-97-103zbMath0499.43004OpenAlexW982367230MaRDI QIDQ3965073

Walter R. Bloom

Publication date: 1982

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-46-1-97-103

zbMATH Keywords

Lipschitz spaceFourier seriesabsolute convergenceBernstein's theoremJackson's theoremLp-spacefinite-dimensional group

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (6)

On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis ⋮ Absolute convergence of Fourier series on totally disconnected groups ⋮ Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ On the Hankel transform of functions from Nikol'ski type classes ⋮ Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers ⋮ On the Fourier transform of functions from the classes \(H_p^\alpha ({{\mathbb{R}}})\)

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