A quantitative version of the Beurling-Helson theorem
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Publication:498564
DOI10.1007/s10688-015-0093-0zbMath1326.42005arXiv1401.4429OpenAlexW859935511MaRDI QIDQ498564
Ilya D. Shkredov, Sergei V. Konyagin
Publication date: 29 September 2015
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.4429
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
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Cites Work
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- Absolutely convergent Fourier series. An improvement of the Beurling-Helson theorem
- Hardy's inequality and the \(L^ 1\) norm of exponential sums
- Estimates in Beurling-Helson type theorems: multidimensional case
- The Littlewood-Gowers problem
- Quantitative estimates in Beurling-Helson type theorems
- On sets of large trigonometric sums
- On the Littlewood Problem Modulo a Prime
- A theorem on functions defined on a semi-group