Orthogonal exponentials on the generalized plane Sierpinski gasket
From MaRDI portal
Publication:953826
DOI10.1016/J.JAT.2008.01.005zbMath1214.42046OpenAlexW2040371279MaRDI QIDQ953826
Publication date: 6 November 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2008.01.005
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)
Related Items (19)
On the spectra of Sierpinski-type self-affine measures ⋮ Spectrality of self-affine measures on the three-dimensional Sierpinski gasket ⋮ Spectrality of a class of self-affine measures with decomposable digit sets ⋮ SPECTRALITY AND NON-SPECTRALITY OF PLANAR SELF-SIMILAR MEASURES WITH FOUR-ELEMENT DIGIT SETS ⋮ Spectral self-affine measures on the planar Sierpinski family ⋮ Tree structure of spectra of spectral self-affine measures ⋮ There are four-element orthogonal exponentials of planar self-affine measures with two digits ⋮ On the spectra of a class of self-affine measures on \(\mathbb{R}^2\) ⋮ Spectrality of planar self-affine measures with two-element digit set ⋮ THE NON-SPECTRAL PROPERTY OF A CLASS OF PLANAR SELF-SIMILAR MEASURES ⋮ Nonspectrality of certain self-affine measures on \(\mathbb{R}^3\) ⋮ Uniformity of spectral self-affine measures ⋮ Spectrality of the planar Sierpinski family ⋮ Non-spectral problem for a class of planar self-affine measures ⋮ Spectrality of one dimensional self-similar measures with consecutive digits ⋮ Non-spectral self-affine measure problem on the plane domain ⋮ Non-spectrality of planar self-affine measures with three-elements digit set ⋮ The cardinality of certain \(\mu _{M,D}\)-orthogonal exponentials ⋮ Sierpinski-type spectral self-similar measures
Cites Work
- 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
- 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
- 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
- Convergence of mock Fourier series
- 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 $\mathbb{R}^N$
- Orthogonal Exponentials for Bernoulli Iterated Function Systems
- Orthogonal exponentials on the ball
This page was built for publication: Orthogonal exponentials on the generalized plane Sierpinski gasket
