Spectrality of a class of self-affine measures and related digit sets
type: Item
instance of: scholarly article
title: Spectrality of a class of self-affine measures and related digit sets
zbMATH Open document ID: 1472.28013
author: Ming-Shu Yang
published in: Archiv der Mathematik
publication date: 2021-08-04T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 46C05
zbMATH DE Number: 7378007
zbMATH Keywords: self-affine measure
zbMATH Keywords: spectrality
zbMATH Keywords: compatible pair
zbMATH Keywords: digit set
MaRDI profile type: Publication
full work available at URL: s00013-021-01608-x
OpenAlex ID: W3157716998
cites work: Self-similar measures for quasicrystals
cites work: Number theory problems from the harmonic analysis of a fractal
cites work: Hadamard triples generate self-affine spectral measures
cites work: Fourier frequencies in affine iterated function systems
cites work: Fourier series on fractals: a parallel with wavelet theory
cites work: Orthogonal exponentials, translations, and Bohr completions
cites work: Commuting self-adjoint partial differential operators and a group theoretic problem
cites work: Q3731958
cites work: Dense analytic subspaces in fractal \(L^2\)-spaces
cites work: Affine systems: asymptotics at infinity for fractal measures
cites work: Multiple lattice tiles and Riesz bases of exponentials
cites work: On spectral Cantor measures
cites work: Discrete Fourier analysis with lattices on planar domains
cites work: \(\mu _{m,d}\)-orthogonality and compatible pair
cites work: Spectral self-affine measures with prime determinant
cites work: Sufficient conditions for the spectrality of self-affine measures with prime determinant
cites work: Fuglede’s conjecture fails in dimension 4
cites work: Exponential frames on unbounded sets
cites work: Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces'' by P. E. T. Jorgensen and S. Pedersen
cites work: Fuglede's conjecture is false in 5 and higher dimensions
cites work: Spectrality of digit sets and spectral self-affine measures
cites work: Wavelets, tiling, and spectral sets
cites work: Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs
cites work: A class of spectral self-affine measures with four-element digit sets
DOI: 10.1007/S00013-021-01608-X
Recommended article: Spectrality of digit sets and spectral self-affine measures
Recommended article: Spectrality of a class of self-affine measures with decomposable digit sets
Recommended article: Q5142763
Recommended article: Spectrality of planar self-affine measures with two-element digit set
Recommended article: A class of spectral self-affine measures with four-element digit sets
Recommended article: Spectrality of a class of planar self-affine measures with three-element digit sets
Recommended article: Spectral properties of self-similar measures with product-form digit sets
Recommended article: Q2990528
Recommended article: Spectral property of the planar self-affine measures with three-element digit sets
Recommended article: Spectra of a class of self-affine measures
description: scientific article; zbMATH DE number 7378007