The cardinality of \(\mu_{M,D}\)-orthogonal exponentials for the planar four digits
From MaRDI portal
Publication:2121255
DOI10.1515/forum-2021-0017zbMath1498.28013OpenAlexW3165220833MaRDI QIDQ2121255
Jing-Cheng Liu, Ming-Liang Chen, Yao Liu, Sha Wu
Publication date: 4 April 2022
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/forum-2021-0017
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)
Related Items (3)
The cardinality of orthogonal exponentials of planar self-affine measures with two-element digit set ⋮ The spectral eigenmatrix problems of planar self-affine measures with four digits ⋮ Non-spectrality of a class of Moran measures on \(\mathbb{R}^3\)
Cites Work
- Unnamed Item
- On the spectra of Sierpinski-type self-affine measures
- Spectral property of Cantor measures with consecutive digits
- Non-spectral problem for the planar self-affine measures
- Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers
- Complex Hadamard matrices and the spectral set conjecture
- Analysis of orthogonality and of orbits in affine iterated function systems
- Fourier frequencies in affine iterated function systems
- Spectrality of self-similar tiles
- Spectral property of the Bernoulli convolutions
- Non-spectral problem for a class of planar self-affine measures
- Dense analytic subspaces in fractal \(L^2\)-spaces
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Fuglede's conjecture is false in 5 and higher dimensions
- Exponential spectra in \(L^2(\mu)\)
- On self-similar spectral measures
- Spectral structure and spectral eigenvalue problems of a class of self-similar spectral measures
- A characterization on the spectra of self-affine measures
- Tree structure of spectra of spectral self-affine measures
- On spectral \({N}\)-Bernoulli measures
- Spectrality of a class of infinite convolutions
- 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
- Analysis of μM, D‐orthogonal exponentials for the planar four‐element digit sets
- Fuglede’s conjecture fails in dimension 4
- Tiles with no spectra
- Spectral property of self-affine measures on \(\mathbb{R}^n\)
This page was built for publication: The cardinality of \(\mu_{M,D}\)-orthogonal exponentials for the planar four digits