DOI10.4310/MRL.2004.v11.n2.a8zbMath1092.42014arXivmath/0306134WikidataQ123248277 ScholiaQ123248277MaRDI QIDQ1890224
Terence C. Tao
Publication date: 29 December 2004
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0306134
Spectrality of a class of Moran measures on with consecutive digit sets ⋮
Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$ ⋮
Relating incompatibility, noncommutativity, uncertainty, and Kirkwood–Dirac nonclassicality ⋮
On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces ⋮
Packing near the tiling density and exponential bases for product domains ⋮
Hadamard triples generate self-affine spectral measures ⋮
On the structure of spectral and tiling subsets of cyclic groups ⋮
Identifying complex Hadamard submatrices of the Fourier matrices via primitive sets ⋮
On exponential bases and frames with non-linear phase functions and some applications ⋮
Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\) ⋮
SPECTRUM OF A SELF-AFFINE MEASURE WITH FOUR-ELEMENT DIGIT SET ⋮
The Fuglede Conjecture Holds in ⋮
Weak convergence and spectrality of infinite convolutions ⋮
On 6× 6 complex Hadamard matrices containing two nonintersecting identical 3× 3 submatrices ⋮
The spectrality of symmetric additive measures ⋮
On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem ⋮
On \(p\)-adic spectral measures ⋮
Some results on planar self-affine measures with collinear digit sets ⋮
Riesz bases of exponentials for multi-tiling measures ⋮
Spectral sets and weak tiling ⋮
Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale ⋮
A characterization on the spectra of self-affine measures ⋮
The structure of multiplicative tilings of the real line ⋮
Spectrality of homogeneous Moran measures on \(\mathbb{R}^n\) ⋮
Product-form Hadamard triples and its spectral self-similar measures ⋮
There are four-element orthogonal exponentials of planar self-affine measures with two digits ⋮
Tiling and spectrality for generalized Sierpinski self-affine sets ⋮
On the Fourier orthonormal bases of a class of self-similar measures on \(\mathbb{R}^n\) ⋮
Spectrality of Moran-Sierpinski type measures ⋮
The spectral eigenmatrix problems of planar self-affine measures with four digits ⋮
Block-circulant complex Hadamard matrices ⋮
Spectral properties of a class of Moran measures on \(\mathbb{R}^2\) ⋮
Spectrality of a Class of Moran Measures ⋮
Spectral eigenmatrix of the planar spectral measures with four elements ⋮
Spectrality of Cantor-Moran measures with three-element digit sets ⋮
Spectral self-similar measures with alternate contraction ratios and consecutive digits ⋮
On rationality of spectrums for spectral sets in \(\mathbb{R} \) ⋮
On self-affine tiles that are homeomorphic to a ball ⋮
The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\) ⋮
Fourier bases of the planar self‐affine measures with three digits ⋮
Taking music seriously: on the dynamics of `mathemusical' research with a focus on hexachordal theorems ⋮
Fuglede’s Conjecture Holds in \(\boldsymbol{\mathbb{Z}_{p}\times \mathbb{Z}_{p^{n}}}\) ⋮
Spectrality of Moran measures with finite arithmetic digit sets ⋮
On zeros and spectral property of self-affine measures ⋮
Spectral number of 3-Bernoulli convolutions on R and Sierpinski-type measures on R2 ⋮
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 ⋮
On the Number of Neighbors in Normal Tiling ⋮
Reconstruction of Signals: Uniqueness and Stable Sampling ⋮
Fourier Bases and Fourier Frames on Self-Affine Measures ⋮
Some Recent Developments of Self-Affine Tiles ⋮
Spectra for cubes in products of finite cyclic groups ⋮
Momentum operators in two intervals: spectra and phase transition ⋮
Almost Hadamard matrices: the case of arbitrary exponents ⋮
Unnamed Item ⋮
Spectral property of self-affine measures on \(\mathbb{R}^n\) ⋮
Characterization of a class of planar self-affine tile digit sets ⋮
Duality relation on spectra of self-affine measures ⋮
On spectral \({N}\)-Bernoulli measures ⋮
NUMBER THEORY PROBLEMS RELATED TO THE SPECTRUM OF CANTOR-TYPE MEASURES WITH CONSECUTIVE DIGITS ⋮
On the spectrality of self-affine measures with four digits on ℝ2 ⋮
Spectrality of a class of self-affine measures on R2 * ⋮
Spectral property of self-affine measures on \(\mathbb{R}^n\) ⋮
Some reductions of the spectral set conjecture to integers ⋮
Orthogonal maximal Abelian \(*\)-subalgebras of the \(6\times 6\) matrices ⋮
ON MUTUALLY UNBIASED BASES ⋮
On spectral sets of integers ⋮
Non-symmetric convex polytopes and Gabor orthonormal bases ⋮
Spectral Measures on Local Fields ⋮
Combining Riesz bases ⋮
Spectrality of a class of infinite convolutions ⋮
ORTHOGONAL EXPONENTIAL FUNCTIONS OF SELF-AFFINE MEASURES IN ℝn ⋮
THE CARDINALITY OF ORTHOGONAL EXPONENTIAL FUNCTIONS ON THE SPATIAL SIERPINSKI GASKET ⋮
Tiling $$\mathbb{Z}^{2}$$ by a Set of Four Elements ⋮
Equi‐distributed property and spectral set conjecture on Zp2×Zp ⋮
Combinatorial and harmonic-analytic methods for integer tilings ⋮
New perspectives on rhythmic canons and the spectral conjecture ⋮
Classification of tile digit sets as product-forms ⋮
Unbiased bases (Hadamards) for six-level systems: Four ways from Fourier ⋮
Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions ⋮
A Concise Guide to Complex Hadamard Matrices ⋮
Fourier duality for fractal measures with affine scales ⋮
Spectral measures and Cuntz algebras ⋮
Structured Hadamard Conjecture ⋮
Multiple lattice tiles and Riesz bases of exponentials ⋮
Spectral theory of multiple intervals ⋮
Gabor orthogonal bases and convexity ⋮
Spectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$ ⋮
On Gabor orthonormal bases over finite prime fields ⋮
Spectra of measures and wandering vectors ⋮
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 ⋮
Spectrality of Moran Sierpinski-type measures on ⋮
Isolated Hadamard matrices from mutually unbiased product bases ⋮
SPECTRAL EIGENVALUE PROBLEMS OF SELF-SIMILAR MEASURES WITH CONSECUTIVE DIGITS ⋮
Spectral Moran measures on R2 * ⋮
Some properties of spectral measures ⋮
The cardinality of \(\mu_{M,D}\)-orthogonal exponentials for the planar four digits
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