On \(\ell-1\) Riesz summability of the inverse Fourier integral

DOI10.1016/S0019-3577(01)80004-5zbMath0988.42009OpenAlexW1969077815MaRDI QIDQ5947105

Zhongkai Li, Yuan Xu, Hubert Berens

Publication date: 23 June 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(01)80004-5

zbMATH Keywords

Dirichlet kernelPoisson kernel\(\ell-1\) Riesz summabilityRiesz kernel

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08)

Related Items

Triangular Cesàro summability and Lebesgue points of two-dimensional Fourier series ⋮ Triangular summability of two-dimensional Fourier transforms ⋮ \(\ell _{1}\)-summability of higher-dimensional Fourier series ⋮ Weak type inequalities for the \(\ell_1\)-summability of higher dimensional Fourier transforms ⋮ Wiener amalgams, Hardy spaces and summability of Fourier series ⋮ Triangular Cesàro summability of two dimensional Fourier series ⋮ \(\ell_{1}\)-summability of \(d\)-dimensional Fourier transforms ⋮ The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms ⋮ \(\ell_1\)-summability and Lebesgue points of \(d\)-dimensional Fourier transforms ⋮ Triangular summability and Lebesgue points of 2-dimensional Fourier transforms ⋮ Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series ⋮ Summability of product Jacobi expansions ⋮ Cesàro summability and Lebesgue points of higher dimensional Fourier series

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