Absolute convergence of Fourier series on certain groups. II

DOI10.1215/S0012-7094-74-04172-6zbMath0294.43009MaRDI QIDQ1212628

C. W. Onneweer

Publication date: 1974

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (16)

Multiplicative convolutions of functions from Lorentz spaces and convergence of series of Fourier-Vilenkin coefficients ⋮ Absolute convergence of multiple series of Fourier coefficients with respect to multiplicative systems ⋮ Absolute convergence of Vilenkin-Fourier series ⋮ On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis ⋮ Factorization of Lipschitz functions and absolute convergence of Vilenkin-Fourier series ⋮ Absolute convergence of Fourier series on totally disconnected groups ⋮ Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ On the absolute convergence of Vilenkin-Fourier series ⋮ Asymptotics of rearranged trigonometric and Walsh-Fourier coefficients of smooth functions ⋮ Wiener-Ingham type inequality for Vilenkin groups and its application to harmonic analysis ⋮ Fourier Transforms of Multiplicative Convolutions ⋮ Convergence of series of Fourier coefficients for multiplicative convolutions ⋮ 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 \(H_p^\alpha ({{\mathbb{R}}})\) ⋮ Fourier transforms of Lipschitz functions and Fourier multipliers on compact groups

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