Estimates in Beurling-Helson type theorems: multidimensional case

DOI10.1134/S0001434611090069zbMath1284.42013arXiv1201.0403OpenAlexW2056285837MaRDI QIDQ2435783

V. V. Lebedev

Publication date: 20 February 2014

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

Full work available at URL: https://arxiv.org/abs/1201.0403

zbMATH Keywords

Fourier seriesBeurling-Helson theorem

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (3)

Absolutely convergent Fourier series. An improvement of the Beurling-Helson theorem ⋮ On the Fourier transform of the characteristic functions of domains with \(C^1\) boundary ⋮ A quantitative version of the Beurling-Helson theorem

Cites Work

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• Properties of \(C^{1}\)-smooth functions whose gradient range has topological dimension 1
• On certain classes of absolut convergent Fourier series
• Diffeomorphisms of the circle and the Beurling-Helson theorem
• Norms of powers of absolutely convergent Fourier series in several variables
• Fonctions entières et intégrales de Fourier multiples. II
• Quantitative estimates in Beurling-Helson type theorems
• A theorem on functions defined on a semi-group
• On Absolute Convergence of Multiple Fourier Series

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