A characterization of spectra for a class of planar spectral measures

DOI10.1007/s40840-024-01797-yMaRDI QIDQ6661077

Publication date: 10 January 2025

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

spectrum spectral measure Beurling density Beurling dimension

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)

Cites Work

Unnamed Item
Unnamed Item
Spectral property of Cantor measures with consecutive digits
When does a Bernoulli convolution admit a spectrum?
A class of spectral Moran measures
On the Beurling dimension of exponential frames
Spectra of a class of self-affine measures
Number theory problems from the harmonic analysis of a fractal
Complex Hadamard matrices and the spectral set conjecture
Beurling dimension of Gabor pseudoframes for affine subspaces
On the spectra of a Cantor measure
A density criterion for frames of complex exponentials
Dense analytic subspaces in fractal \(L^2\)-spaces
Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces by P. E. T. Jorgensen and S. Pedersen
Mock Fourier series and transforms associated with certain Cantor measures
Beurling dimension and self-similar measures
Commuting self-adjoint partial differential operators and a group theoretic problem
On spectral Cantor measures
Fuglede's conjecture is false in 5 and higher dimensions
Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures
On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
Convergence of mock Fourier series
Necessary density conditions for sampling an interpolation of certain entire functions
Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
Arbitrarily sparse spectra for self-affine spectral measures
BEURLING DIMENSION AND SELF-AFFINE MEASURES
On spectra and spectral eigenmatrix problems of the planar Sierpinski measures
SPECTRALITY AND NON-SPECTRALITY OF PLANAR SELF-SIMILAR MEASURES WITH FOUR-ELEMENT DIGIT SETS
On the spectrality of self-affine measures with four digits on ℝ2
Divergence of the mock and scrambled Fourier series on fractal measures
Analysis of μ_{M, D}‐orthogonal exponentials for the planar four‐element digit sets
Tiles with no spectra
Spectral eigenmatrix of the planar spectral measures with four elements
Fourier bases of a class of planar self-affine measures
On the intermediate value property of spectra for a class of Moran spectral measures
Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets

This page was built for publication: A characterization of spectra for a class of planar spectral measures