Smoothness and absolute convergence of Fourier series in compact totally disconnected groups

DOI10.1016/0022-1236(78)90034-4zbMath0392.43008OpenAlexW2025705986MaRDI QIDQ1251778

George Benke

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90034-4

zbMATH Keywords

Compact Totally Disconnected GroupsCountable Neighborhood BaseFourier AlgebraLipschitz SpacesNormalized Haar MeasureSmoothness and Absolute Convergence of Fourier SeriesSpaces of Functions of Bounded Variation

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) Convergence of Fourier series and of inverse transforms (43A50)

Related Items

Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Bernstein's theorem for compact groups ⋮ Absolute convergence of Fourier series on totally disconnected groups ⋮ Lipschitz multipliers on compact O-dimensional groups ⋮ Factorisation of Lipschitz functions on zero dimensional groups

Cites Work

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