Absolute convergence of Fourier series on certain groups

DOI10.1215/S0012-7094-72-03965-8zbMath0252.43016MaRDI QIDQ2557406

C. W. Onneweer

Publication date: 1972

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

Mathematics Subject Classification ID

Analysis on specific locally compact and other abelian groups (43A70) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (18)

Unnamed Item ⋮ Absolute convergence of Vilenkin-Fourier series ⋮ Generalized absolute convergence of single and double series in multiplicative systems ⋮ On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis ⋮ Absolute convergence of series of Fourier coefficients ⋮ Factorization of Lipschitz functions and absolute convergence of Vilenkin-Fourier series ⋮ Absolute convergence of Fourier series on totally disconnected groups ⋮ On the coefficients of Vilenkin-Fourier series with small gaps ⋮ Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ Asymptotics of rearranged trigonometric and Walsh-Fourier coefficients of smooth functions ⋮ Wiener-Ingham type inequality for Vilenkin groups and its application to harmonic analysis ⋮ Fractional differentiation on the group of integers of a \(p\)-adic or \(p\)-series field ⋮ 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 \(H_p^\alpha ({{\mathbb{R}}})\) ⋮ Approximation of functions of bounded \(p\)-fluctuation by polynomials with respect to multiplicative systems ⋮ Mean Convergence of Generalized Walsh-Fourier Series

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