Almost Everywhere Convergence of Fourier Series on the Ring of Integers of a Local Field

DOI10.1137/0502060zbMath0227.43015OpenAlexW2069072613MaRDI QIDQ5634403

R. A. Hunt, Mitchell H. Taibleson

Publication date: 1971

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0502060

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (8)

Weighted norm inequalities for maximal operator of Fourier series ⋮ On a problem of Hardy for Walsh-Fourier series ⋮ Almost Everywhere Convergence of Vilenkin-Fourier Series ⋮ Fourier series on certain solenoids ⋮ A short biography of Joseph Fourier and historical development of Fourier series and Fourier transforms ⋮ Harmonic analysis on \(n\)-dimensional vector spaces over local fields. III: Multipliers ⋮ On Rearrangements of Vilenkin-Fourier Series which Preserve almost Everywhere Convergence ⋮ On singular integrals, multipliers, \(H^ 1 \)and Fourier series - a local field phenomenon

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