A class of spectral Moran measures

DOI10.1016/j.jfa.2013.08.031zbMath1303.28009OpenAlexW2002693311MaRDI QIDQ477041

Li-Xiang An, Xing-Gang He

Publication date: 2 December 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.08.031

zbMATH Keywords

spectral measurescompatible pairMoran iterated function systemsMoran measures

Mathematics Subject Classification ID

Fractals (28A80) Fourier series and coefficients in several variables (42B05)

Related Items (84)

Spectrality of a class of Moran measures on with consecutive digit sets ⋮ Spectral structure of planar self-similar measures with four-element digit set ⋮ Spectrality of infinite convolutions with three-element digit sets ⋮ Fourier orthonormal bases of two dimensional Moran measures with four-element digits ⋮ Convergence of mock Fourier series on generalized Bernoulli convolutions ⋮ Spectra of Bernoulli convolutions and random convolutions ⋮ On spectra and spectral eigenmatrix problems of the planar Sierpinski measures ⋮ Spectrality and non-spectrality of some Moran measures in \(\mathbb{R}^3\) ⋮ Spectral property of certain Moran measures in \(\mathbb{R}^n\) ⋮ On the Fourier orthonormal bases of a class of Moran measures on \(\mathbb{R}^2\) ⋮ Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\) ⋮ Scaling of spectra of a class of random convolution on \(\mathbb{R}\) ⋮ SPECTRALITY AND NON-SPECTRALITY OF PLANAR SELF-SIMILAR MEASURES WITH FOUR-ELEMENT DIGIT SETS ⋮ Spectral property of certain fractal measures ⋮ Spectral properties of certain Moran measures with consecutive and collinear digit sets ⋮ Weak convergence and spectrality of infinite convolutions ⋮ The cardinality of orthogonal exponentials of planar self-affine measures with three-element digit sets ⋮ Spectrality and non-spectrality of the Riesz product measures with three elements in digit sets ⋮ Scaling of spectra of self-similar measures with consecutive digits ⋮ The existence of Fourier basis for some Moran measures ⋮ Spectrality of certain Moran measures with three-element digit sets ⋮ On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem ⋮ A characterization on the spectra of self-affine measures ⋮ Tree structure of spectra of spectral self-affine measures ⋮ Divergence of mock Fourier series for spectral measures ⋮ Spectrality of homogeneous Moran measures on \(\mathbb{R}^n\) ⋮ Product-form Hadamard triples and its spectral self-similar measures ⋮ Spectrality of Moran-Sierpinski type measures ⋮ The spectral eigenmatrix problems of planar self-affine measures with four digits ⋮ The exact number of orthogonal exponentials of a class of Moran measures on \(\mathbb{R}^3\) ⋮ Spectral properties of a class of Moran measures on \(\mathbb{R}^2\) ⋮ The spectra of Cantor-type measures with consecutive digits ⋮ Spectrality of a Class of Moran Measures ⋮ The spectrality of a class of fractal measures on \(\mathbb{R}^n \) ⋮ NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS ⋮ Fourier bases of a class of planar self-affine measures ⋮ On the spectra of a class of Moran measures ⋮ Spectrality of Cantor-Moran measures with three-element digit sets ⋮ Spectral self-similar measures with alternate contraction ratios and consecutive digits ⋮ The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\) ⋮ EXPONENTIAL ORTHONORMAL BASES OF CANTOR–MORAN MEASURES ⋮ A CLASS OF SPECTRAL MORAN MEASURES ON ℝ ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Spectrality of Moran measures with finite arithmetic digit sets ⋮ Spectral number of 3-Bernoulli convolutions on R and Sierpinski-type measures on R2 ⋮ Spectrality of Moran-type Bernoulli convolutions ⋮ Spectrality of random convolutions generated by finitely many Hadamard triples ⋮ Infinite orthogonal exponentials for a class of Moran measures ⋮ Spectrality of Moran measures with four-element digit sets ⋮ An extension of Łaba-Wang's theorem ⋮ THE NON-SPECTRAL PROPERTY OF A CLASS OF PLANAR SELF-SIMILAR MEASURES ⋮ On self-similar spectral measures ⋮ Spectral property of self-affine measures on \(\mathbb{R}^n\) ⋮ On spectral eigenvalue problem of a class of self-similar spectral measures with consecutive digits ⋮ On spectral \({N}\)-Bernoulli measures ⋮ Uniformity of spectral self-affine measures ⋮ Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution ⋮ Spectral properties of self-similar measures with product-form digit sets ⋮ NUMBER THEORY PROBLEMS RELATED TO THE SPECTRUM OF CANTOR-TYPE MEASURES WITH CONSECUTIVE DIGITS ⋮ Spectrality of the planar Sierpinski family ⋮ Spectrality of generalized Sierpinski-type self-affine measures ⋮ On the spectrality of self-affine measures with four digits on ℝ2 ⋮ Spectrality of Moran-type self-similar measures on \(\mathbb{R} \) ⋮ Spectrality of a class of Cantor-Moran measures ⋮ On the Fourier orthonormal bases of Cantor-Moran measures ⋮ Spectrality of a class of self-affine measures on R2 * ⋮ Spectral properties of a class of Moran measures ⋮ Spectrality of Sierpinski-Moran measures ⋮ Spectrality of a class of infinite convolutions ⋮ SPECTRAL PROPERTY OF CERTAIN MORAN MEASURES WITH THREE-ELEMENT DIGIT SETS ⋮ Scaling of spectra of random convolutions with three-element digit sets ⋮ On the orthogonal exponential functions of a class of planar self-affine measures ⋮ Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures ⋮ On spectral eigenvalue problem of a class of generalized Cantor measures ⋮ Number theoretic related to the scaling spectrum of self-similar measure with three element digit sets ⋮ Construction of a class of spectral measures ⋮ On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures ⋮ Spectrality of Moran Sierpinski-type measures on ⋮ Spectral property of a class of Moran measures on \(\mathbb{R}\) ⋮ Beurling dimension of a class of spectra of the Sierpinski-type spectral measures ⋮ Spectral Moran measures on R2 * ⋮ Non-spectrality of Moran measures with four digits ⋮ Sierpinski-type spectral self-similar measures ⋮ Spectrality of infinite Bernoulli convolutions

Cites Work

• Unnamed Item
• Spectral property of Cantor measures with consecutive digits
• When does a Bernoulli convolution admit a spectrum?
• On the Beurling dimension of exponential frames
• Spectra of a class of self-affine measures
• On Fourier frame of absolutely continuous measures
• On Fuglede's conjecture and the existence of universal spectra
• \(\mu _{m,d}\)-orthogonality and compatible pair
• Fourier frequencies in affine iterated function systems
• Spectral property of the Bernoulli convolutions
• On the spectra of a Cantor measure
• 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
• Some dimensional results for homogeneous Moran sets
• Orthonormal bases of exponentials for the \(n\)-cube
• Commuting self-adjoint partial differential operators and a group theoretic problem
• On spectral Cantor measures
• Probability essentials.
• Fuglede's conjecture is false in 5 and higher dimensions
• Exponential spectra in \(L^2(\mu)\)
• Uniformity of measures with Fourier frames
• Convergence of mock Fourier series
• Necessary density conditions for sampling an interpolation of certain entire functions
• THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS
• Tiles with no spectra

This page was built for publication: A class of spectral Moran measures