On Fuglede's conjecture and the existence of universal spectra
From MaRDI portal
Publication:857572
DOI10.1007/s00041-005-5069-7zbMath1106.42031arXivmath/0612016OpenAlexW3105329345WikidataQ123029146 ScholiaQ123029146MaRDI QIDQ857572
Máté Matolcsi, Bálint Farkas, Péter Móra
Publication date: 19 December 2006
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612016
General harmonic expansions, frames (42C15) Summability and bases in topological vector spaces (46A35) Nontrigonometric harmonic analysis (42C99) Character groups and dual objects (43A40)
Related Items (62)
Spectral sets and tiles on vector space over local fields ⋮ Spectral sets and tiles in \(\mathbb{Z}_p^2 \times \mathbb{Z}_q^2\) ⋮ Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$ ⋮ Duality questions for operators, spectrum and measures ⋮ Packing near the tiling density and exponential bases for product domains ⋮ Convergence of mock Fourier series on generalized Bernoulli convolutions ⋮ Compact open spectral sets in \(\mathbb{Q}_p\) ⋮ On a criterion of universal spectra ⋮ On the structure of spectral and tiling subsets of cyclic groups ⋮ Tiling sets and spectral sets over finite fields ⋮ Spectrality of self-similar measures with product-form digits ⋮ SPECTRUM OF A SELF-AFFINE MEASURE WITH FOUR-ELEMENT DIGIT SET ⋮ On the discrete Fuglede and Pompeiu problems ⋮ Spectrum is periodic for \(n\)-intervals ⋮ Analysis of orthogonality and of orbits in affine iterated function systems ⋮ Weak convergence and spectrality of infinite convolutions ⋮ Spectrality of self-affine measures and generalized compatible pairs ⋮ On \(p\)-adic spectral measures ⋮ Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale ⋮ Spectrality of homogeneous Moran measures on \(\mathbb{R}^n\) ⋮ Spectral self-similar measures with alternate contraction ratios and consecutive digits ⋮ On rationality of spectrums for spectral sets in \(\mathbb{R} \) ⋮ Fuglede’s Conjecture Holds in \(\boldsymbol{\mathbb{Z}_{p}\times \mathbb{Z}_{p^{n}}}\) ⋮ Periodicity of the spectrum of a finite union of intervals ⋮ Spectrality of random convolutions generated by finitely many Hadamard triples ⋮ Infinite orthogonal exponentials for a class of Moran measures ⋮ The Coven-Meyerowitz tiling conditions for 3 odd prime factors ⋮ Riesz bases of exponentials on unbounded multi-tiles ⋮ Spectra for cubes in products of finite cyclic groups ⋮ Size of orthogonal sets of exponentials for the disk ⋮ Duality relation on spectra of self-affine measures ⋮ A class of spectral Moran measures ⋮ On the universal tiling conjecture in dimension one ⋮ Spectral properties of self-similar measures with product-form digit sets ⋮ Lattice sub-tilings and frames in LCA groups ⋮ Some reductions of the spectral set conjecture to integers ⋮ A counterexample to Fuglede's conjecture in \((\mathbb{Z}/p\mathbb{Z})^4\) for all odd primes ⋮ Constructions of Complex Hadamard Matrices via Tiling Abelian Groups ⋮ Turán's extremal problem on locally compact abelian groups ⋮ Duality properties between spectra and tilings ⋮ Fuglede's conjecture fails in 4 dimensions over odd prime fields ⋮ On spectral sets of integers ⋮ Bounded tiles in \(\mathbb{Q}_p\) are compact open sets ⋮ Spectrality of a class of infinite convolutions ⋮ Quasiperiodic spectra and orthogonality for iterated function system measures ⋮ Equi‐distributed property and spectral set conjecture on Zp2×Zp ⋮ Combinatorial and harmonic-analytic methods for integer tilings ⋮ Algorithms for translational tiling ⋮ Arithmetic sets in groups ⋮ Unitary representations of wavelet groups and encoding of iterated function systems in solenoids ⋮ Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions ⋮ Fuglede's conjecture holds in \(\mathbb{Q}_p\) ⋮ Multiple lattice tiles and Riesz bases of exponentials ⋮ Spectral theory of multiple intervals ⋮ On spectral eigenvalue problem of a class of generalized Cantor measures ⋮ Spectra of measures and wandering vectors ⋮ Fuglede's conjecture holds for cyclic groups of order \(pqrs\) ⋮ Construction of a class of spectral measures ⋮ Non-separable lattices, Gabor orthonormal bases and tilings ⋮ Fuglede’s conjecture holds on ℤ_{𝕡}²×ℤ_{𝕢} ⋮ On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form ⋮ Tiling properties of spectra of measures
This page was built for publication: On Fuglede's conjecture and the existence of universal spectra
