Spectra of Bernoulli convolutions and random convolutions
type: Item
instance of: scholarly article
title: Spectra of Bernoulli convolutions and random convolutions
zbMATH Open document ID: 1400.42005
author: Yan-Song Fu
author: Xing-Gang He
author: Zhixiong Wen
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2018-07-17T00:00:00Z
review text: For the constant in the discrete Fourier restriction inequality, where the \(N\)-th exponential sums are taken rather than integrals in the ``standard'' versions, its growth in \(N\) is studied. The inequality in question is a periodic Strichartz inequality associated with the KdV equation. It is also proved that the obtained estimate is sharp up to a factor \(N^\varepsilon\).
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 11L07
zbMATH DE Number: 6904600
zbMATH Keywords: discrete Fourier restriction
zbMATH Keywords: exponential sums
MaRDI profile type: Publication
full work available at URL: j.matpur.2018.06.002
OpenAlex ID: W2808618083
cites work: A class of spectral Moran measures
cites work: Spectrality of a class of infinite convolutions
cites work: Spectrality of infinite Bernoulli convolutions
cites work: On convergence and growth of partial sums of Fourier series
cites work: When does a Bernoulli convolution admit a spectrum?
cites work: Spectra of Cantor measures
cites work: Spectral property of Cantor measures with consecutive digits
cites work: On spectral \({N}\)-Bernoulli measures
cites work: On the spectra of a Cantor measure
cites work: Divergence of the mock and scrambled Fourier series on fractal measures
cites work: On the Beurling dimension of exponential frames
cites work: Number theory problems from the harmonic analysis of a fractal
cites work: Iterated function systems, Ruelle operators, and invariant projective measures
cites work: Fourier frequencies in affine iterated function systems
cites work: Analysis of orthogonality and of orbits in affine iterated function systems
cites work: Fourier duality for fractal measures with affine scales
cites work: Spectral measures generated by arbitrary and random convolutions
cites work: Spectral property of a class of Moran measures on \(\mathbb{R}\)
cites work: Spectrality of infinite convolutions with three-element digit sets
cites work: Commuting self-adjoint partial differential operators and a group theoretic problem
cites work: Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution
cites work: Q5542909
cites work: Q3731958
cites work: Exponential spectra in \(L^2(\mu)\)
cites work: Spectral property of the Bernoulli convolutions
cites work: Families of spectral sets for Bernoulli convolutions
cites work: Dense analytic subspaces in fractal \(L^2\)-spaces
cites work: Orthogonal harmonic analysis of fractal measures
cites work: Tiles with no spectra
cites work: On spectral Cantor measures
cites work: \(\mu _{m,d}\)-orthogonality and compatible pair
cites work: Spectra of a class of self-affine measures
cites work: Extensions of Laba-Wang's condition for spectral pairs
cites work: Fourier asymptotics of fractal measures
cites work: Self-similarity in harmonic analysis
cites work: Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces'' by P. E. T. Jorgensen and S. Pedersen
cites work: Mock Fourier series and transforms associated with certain Cantor measures
cites work: Convergence of mock Fourier series
cites work: Fuglede's conjecture is false in 5 and higher dimensions
DOI: 10.1016/J.MATPUR.2018.06.002
Recommended article: Multiple Spectra of Bernoulli Convolutions
Recommended article: Spectral property of the Bernoulli convolutions
Recommended article: Spectrality of infinite Bernoulli convolutions
Recommended article: Spectrality of Moran-type Bernoulli convolutions
Recommended article: On random Bernoulli convolutions
Recommended article: Spectral measures generated by arbitrary and random convolutions
Recommended article: On the regularity of the multifractal spectrum of Bernoulli convolutions
Recommended article: Families of spectral sets for Bernoulli convolutions
Recommended article: Spectra of Bernoulli convolutions as multipliers in \(L^p\) on the circle
Recommended article: Scaling of spectra of a class of random convolution on \(\mathbb{R}\)
description: scientific article; zbMATH DE number 6904600