Non-spectral self-affine measure problem on the plane domain
From MaRDI portal
Publication:982596
DOI10.1016/j.jmaa.2010.03.030zbMath1206.28019OpenAlexW2017445859MaRDI QIDQ982596
Publication date: 7 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.030
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some properties of spectral measures
- \(\mu _{m,d}\)-orthogonality and compatible pair
- Analysis of orthogonality and of orbits in affine iterated function systems
- Fourier frequencies in affine iterated function systems
- Orthogonal exponentials on the generalized plane Sierpinski gasket
- Non-spectral problem for a class of planar self-affine measures
- Analysis of \(\mu_{R,D}\)-orthogonality in affine iterated function systems
- Non-spectrality of planar self-affine measures with three-elements digit set
- Distance sets that are a shift of the integers and Fourier basis for planar convex sets
- 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
- Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\)
- Fourier bases and a distance problem of Erdős
- Non-symmetric convex domains have no basis of exponentials
- Mock Fourier series and transforms associated with certain Cantor measures
- Commuting self-adjoint partial differential operators and a group theoretic problem
- On spectral Cantor measures
- On characterizations of spectra and tilings
- Self-similarity in harmonic analysis
- Affine systems: asymptotics at infinity for fractal measures
- The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
- Convex bodies with a point of curvature do not have Fourier bases
- Iterated function systems, Ruelle operators, and invariant projective measures
- SPECTRAL SELF-AFFINE MEASURES IN $\mathbb{R}^N$
- Fourier series on fractals: a parallel with wavelet theory
- Orthogonal Exponentials for Bernoulli Iterated Function Systems
- Orthogonal exponentials on the ball
