ON A PROBLEM OF LITTLEWOOD

DOI10.1070/IM1982v018n02ABEH001386zbMath0511.42003OpenAlexW2027199404MaRDI QIDQ4748543

Sergei V. Konyagin

Publication date: 1982

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1982v018n02abeh001386

zbMATH Keywords

trigonometric polynomial approximationrearranged trigonometric system

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Trigonometric approximation (42A10) Approximation by polynomials (41A10) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (10)

Lacunary polynomials in \(L^1\): geometry of the unit sphere ⋮ Lower bounds for the Wiener norm in \(\mathbb{Z}_p^d\) ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Counting zeros of cosine polynomials: on a problem of Littlewood ⋮ Flat Littlewood polynomials exist ⋮ Three-term idempotent counterexamples in the Hardy-Littlewood majorant problem ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ The size of exponential sums on intervals of the real line ⋮ The non-equivalence between the trigonometric system and the system of functions with pointwise restrictions on values in the uniform and L¹ norms ⋮ Bounds in Cohen's idempotent theorem

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