Spectrality of certain self-affine measures on the generalized spatial Sierpinski gasket

DOI10.1002/mana.201500227zbMath1342.28024OpenAlexW2274798498MaRDI QIDQ2808133

Qi Wang, Jian-Lin Li

Publication date: 26 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500227

zbMATH Keywords

iterated function systemspectralityself-affine measureorthogonal exponentials

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)

Related Items (5)

NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS ⋮ There are eight‐element orthogonal exponentials on the spatial Sierpinski gasket ⋮ Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket ⋮ The maximal cardinality of \(\mu_{M,D}\)-orthogonal exponentials on the spatial Sierpinski gasket ⋮ THE CARDINALITY OF ORTHOGONAL EXPONENTIAL FUNCTIONS ON THE SPATIAL SIERPINSKI GASKET

Cites Work

• Unnamed Item
• A class of spectral self-affine measures with four-element digit sets
• Non-spectrality of self-affine measures on the spatial Sierpinski gasket
• Spectra of a class of self-affine measures
• Analysis of orthogonality and of orbits in affine iterated function systems
• Fourier frequencies in affine iterated function systems
• Probability and Fourier duality for affine iterated function systems
• The cardinality of certain \(\mu _{M,D}\)-orthogonal exponentials
• 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
• Mock Fourier series and transforms associated with certain Cantor measures
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Harmonic analysis of fractal measures
• Spectral self-affine measures on the spatial Sierpinski gasket
• Sufficient conditions for the spectrality of self-affine measures with prime determinant
• Spectrality of self-affine measures on the three-dimensional Sierpinski gasket
• Digit sets of integral self-affine tiles with prime determinant
• SPECTRAL SELF-AFFINE MEASURES IN $\mathbb{R}^N$
• Some reductions of the spectral set conjecture to integers

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