A note on the discrete Fourier restriction problem

DOI10.1090/proc/13975zbMath1400.42036arXiv1710.01481OpenAlexW2962767705WikidataQ130114568 ScholiaQ130114568MaRDI QIDQ4577159

Ding, Yong, Xudong Lai

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01481

zbMATH Keywords

spectral measuresspectraBernoulli convolutionsrandom convolutions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80) Convolution, factorization for one variable harmonic analysis (42A85) Fourier series and coefficients in several variables (42B05)

Related Items (2)

Discrete restriction estimates for forms in many variables ⋮ Bounds on 10th moments of (𝑥,𝑥³) for ellipsephic sets

Cites Work

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• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Discrete Fourier restriction associated with KdV equations
• Bounds on oscillatory integral operators based on multilinear estimates
• On the multilinear restriction and Kakeya conjectures
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Local well-posedness of periodic fifth-order KdV-type equations
• The proof of the \(l^2\) decoupling conjecture
• Discrete Fourier restriction via Efficient Congruencing
• Classical Fourier Analysis

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