Tiling and spectrality for generalized Sierpinski self-affine sets (Q6084642)

scientific article; zbMATH DE number 7761554

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English	Tiling and spectrality for generalized Sierpinski self-affine sets	scientific article; zbMATH DE number 7761554

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instance of

scholarly article

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title

Tiling and spectrality for generalized Sierpinski self-affine sets (English)

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The Journal of Geometric Analysis

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publication date

6 November 2023

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zbMATH Keywords

Sierpinski self-affine set

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spectral set

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translational tile

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Fuglede's conjecture

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MaRDI profile type

MaRDI publication profile

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cites work

Spectrality of the planar Sierpinski family

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The Fuglede Conjecture Holds in

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On spectra and spectral eigenmatrices of self-affine measures on $\mathbb{R}^n$

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Spectrality of a class of self-affine measures on R2 *

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On spectral ${N}$-Bernoulli measures

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Sierpinski-type spectral self-similar measures

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Existence and exactness of exponential Riesz sequences and frames for fractal measures

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Hadamard triples generate self-affine spectral measures

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Analysis of orthogonality and of orbits in affine iterated function systems

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Fourier frequencies in affine iterated function systems

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Uniformity of measures with Fourier frames

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Probability and Fourier duality for affine iterated function systems

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Q3995301

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Spectral sets and tiles in $\mathbb{Z}_p^2 \times \mathbb{Z}_q^2$

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Fuglede's conjecture holds in $\mathbb{Q}_p$

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Spectrality of self-similar tiles

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Fuglede's conjecture fails in 4 dimensions over odd prime fields

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Commuting self-adjoint partial differential operators and a group theoretic problem

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Spectrality and tiling by cylindric domains

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Spectrality of product domains and Fuglede's conjecture for convex polytopes

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Exponential spectra in $L^2(\mu)$

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Q3731958

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The Fuglede spectral conjecture holds for convex planar domains

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The Fuglede conjecture holds in $\mathbb{Z}_p\times \mathbb{Z}_p$

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Dense analytic subspaces in fractal $L^2$-spaces

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Spectral pairs in Cartesian coordinates

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Q4037009

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On the Connectedness of Self-Affine Tiles

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Fuglede's conjecture holds for cyclic groups of order $pqrs$

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Packing near the tiling density and exponential bases for product domains

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Tiles with no spectra

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Complex Hadamard matrices and the spectral set conjecture

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Fuglede’s conjecture for a union of two intervals

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THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS

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On spectral Cantor measures

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Self-affine tiles in $\mathbb{R}^n$

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Integral Self-Affine Tiles in ℝ<sup> <i>n</i> </sup> I. Standard and Nonstandard Digit Sets

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Integral self-affine tiles in $\mathbb{R}^n$. II: Lattice tilings

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Spectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$

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Classification of tile digit sets as product-forms

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On one-dimensional self-similar tilings and $pq$-tiles

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Spectral self-affine measures on the planar Sierpinski family

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Spectral property of self-affine measures on $\mathbb{R}^n$

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The spectrality of self-affine measure under the similar transformation of $GL_n(p)$

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Spectrality of generalized Sierpinski-type self-affine measures

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The Fuglede conjecture for convex domains is true in all dimensions

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Fuglede’s conjecture fails in dimension 4

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On the structure of spectral and tiling subsets of cyclic groups

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Fuglede's conjecture on cyclic groups of order pnq

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A counterexample to Fuglede's conjecture in $(\mathbb{Z}/p\mathbb{Z})^4$ for all odd primes

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Non-Negative Digit Sets in Positional Number Systems

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Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$

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Mock Fourier series and transforms associated with certain Cantor measures

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Fuglede's conjecture is false in 5 and higher dimensions

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Fuglede’s Conjecture Holds in $\boldsymbol{\mathbb{Z}_{p}\times \mathbb{Z}_{p^{n}}}$

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Identifiers

Mathematics Subject Classification ID

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10.1007/S12220-023-01447-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:6084642