Absolute convergence of Fourier series on totally disconnected groups

DOI10.1007/BF02390501zbMath0492.43004OpenAlexW1984242796MaRDI QIDQ1167901

Walter R. Bloom

Publication date: 1982

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02390501

zbMATH Keywords

Lipschitz spacesabsolute convergent Fourier series

Mathematics Subject Classification ID

(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) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

Fourier series of local Lipschitz functions on zero dimensional groups ⋮ Multipliers of Lipschitz spaces on zero dimensional groups ⋮ Fourier transforms of Lipschitz functions and Fourier multipliers on compact groups

Cites Work

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• Trigonometric approximation theory in compact totally disconnected groups
• Absolute convergence of Vilenkin-Fourier series
• Absolute convergence of Fourier series on certain groups. II
• Smoothness and absolute convergence of Fourier series in compact totally disconnected groups
• Absolute convergence of Fourier series on certain groups
• Jackson's Theorem for locally compact abelian groups
• Absolute convergence of Fourier series on finite-dimensional groups
• Jackson's Theorem for finite products and homomorphic images of locally compact abelian groups
• The Sidon Constant of a Finite Abelian Group
• Bernstein's inequality for locally compact Abelian groups
• On the Walsh Functions

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