Infinite orthogonal exponentials for a class of Moran measures

DOI10.1142/s0129167x23500908OpenAlexW4386879602MaRDI QIDQ6186937

Sha Wu, Jing-Cheng Liu

Publication date: 10 January 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x23500908

zbMATH Keywords

zerosfractal measureorthogonal setMoran measure

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)

Cites Work

• Spectrality and tiling by cylindric domains
• Spectral property of Cantor measures with consecutive digits
• A class of spectral Moran measures
• On the Fourier orthonormal bases of Cantor-Moran measures
• Non-spectral problem for the planar self-affine measures
• Complex Hadamard matrices and the spectral set conjecture
• Wavelets on fractals
• On Fuglede's conjecture and the existence of universal spectra
• Fourier frequencies in affine iterated function systems
• Spectrality of self-similar tiles
• Spectral property of the Bernoulli convolutions
• Probability and Fourier duality for affine iterated function systems
• Dense analytic subspaces in fractal \(L^2\)-spaces
• Some dimensional results for homogeneous Moran sets
• The Fuglede spectral conjecture holds for convex planar domains
• Mock Fourier series and transforms associated with certain Cantor measures
• Spectra of Bernoulli convolutions and random convolutions
• Spectrality of certain Moran measures with three-element digit sets
• Spectrality of Moran measures with four-element digit sets
• 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
• Exponential spectra in \(L^2(\mu)\)
• The Fuglede conjecture for convex domains is true in all dimensions
• Spectral property of the planar self-affine measures with three-element digit sets
• On self-similar spectral measures
• Spectrality of one dimensional self-similar measures with consecutive digits
• Sierpinski-type spectral self-similar measures
• Spectrality of infinite convolutions with three-element digit sets
• On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
• On spectral \({N}\)-Bernoulli measures
• A necessary and sufficient condition for the finite \(\mu_{M,D}\)-orthogonality
• Fuglede’s conjecture for a union of two intervals
• THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS
• Hadamard triples generate self-affine spectral measures
• NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS
• ORTHOGONAL EXPONENTIAL FUNCTIONS OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR DIGITS
• Spectrality of Moran measures with finite arithmetic digit sets
• THE NON-SPECTRAL PROPERTY OF A CLASS OF PLANAR SELF-SIMILAR MEASURES
• Analysis of μ_{M, D}‐orthogonal exponentials for the planar four‐element digit sets
• Tiles with no spectra in dimension 4
• Fuglede’s conjecture fails in dimension 4
• Tiles with no spectra
• Spectral property of self-affine measures on \(\mathbb{R}^n\)
• Universal spectra and Tijdeman's conjecture on factorization of cyclic groups
• Product-form Hadamard triples and its spectral self-similar measures

This page was built for publication: Infinite orthogonal exponentials for a class of Moran measures