A NONSPECTRAL PROBLEM FOR PLANAR MORAN–SIERPINSKI MEASURES

DOI10.1017/s0004972722001587zbMath1525.42005OpenAlexW4315648948MaRDI QIDQ6060529

Unnamed Author, Unnamed Author

Publication date: 3 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001587

zbMATH Keywords

spectral measureorthogonal setMoran-Sierpinski measuretrinomial number

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractals (28A80) Fourier series and coefficients in several variables (42B05) Hausdorff and packing measures (28A78) Completeness of sets of functions in one variable harmonic analysis (42A65)

Cites Work

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• Commuting self-adjoint partial differential operators and a group theoretic problem
• On self-similar spectral measures
• Spectrality of one dimensional self-similar measures with consecutive digits
• On the orthogonal exponential functions of a class of planar self-affine measures
• Sierpinski-type spectral self-similar measures
• On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem
• Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\)
• Spectrality of a class of planar self-affine measures with three-element digit sets
• NON-SPECTRAL PROBLEM FOR CANTOR MEASURES

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