A Fuglede type conjecture for discrete Gabor bases (Q6562478)

scientific article; zbMATH DE number 7871752

Language	Label	Description	Also known as
English	A Fuglede type conjecture for discrete Gabor bases	scientific article; zbMATH DE number 7871752

Statements

instance of

scholarly article

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title

A Fuglede type conjecture for discrete Gabor bases (English)

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author

Wei-Qi Zhou

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published in

Banach Journal of Mathematical Analysis

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publication date

26 June 2024

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zbMATH Keywords

discrete Gabor systems

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Fuglede conjecture

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finite Heisenberg group

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symplectic modules

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MaRDI profile type

Publication

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cites work

CAZAC Sequences and Haagerup’s Characterization of Cyclic N-roots

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Periodicity and decidability of tilings of ℤ2

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Tiling the integers with translates of one finite set

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Gabor orthonormal bases, tiling and periodicity

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Some reductions of the spectral set conjecture to integers

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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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On Fuglede's conjecture and the existence of universal spectra

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

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Gabor orthonormal bases generated by the unit cubes

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The structure of translational tilings in $\mathbb{Z}^d$

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Sur le problème de factorisation des groupes cycliques

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Periodicity of the spectrum in dimension one

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On Gabor orthonormal bases over finite prime fields

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

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Rigidity of planar tilings

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

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Structure of tilings of the line by a function

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Complex Hadamard matrices and the spectral set conjecture

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Tiles with no spectra

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THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS

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The Coven-Meyerowitz tiling conditions for 3 odd prime factors

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Non-separable lattices, Gabor orthonormal bases and tilings

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Tiling the line with translates of one tile

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Spectral sets and factorizations of finite abelian groups

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On vanishing sums of roots of unity.

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Linear independence of Gabor systems in finite dimensional vector spaces

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The Fuglede conjecture for convex domains is true in all dimensions

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A note on Gabor frames in finite dimensions

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On the structure of spectral and tiling subsets of cyclic groups

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Fuglede’s conjecture fails in dimension 4

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Convex bodies which tile space by translation

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Gabor Frames in Finite Dimensions

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Discrete Gabor transforms: The Gabor-Gram matrix approach

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On the factorisation of finite abelian groups

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On the factorisation of finite abelian groups. II

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

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Equi‐distributed property and spectral set conjecture on Zp2×Zp

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Fuglede's conjecture is false in 5 and higher dimensions

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Rédei-matrices and applications

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

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A group ring approach to Fuglede's conjecture in cyclic groups

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On the construction of discrete orthonormal Gabor bases on finite dimensional spaces

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Identifiers

zbMATH Open document ID

1542.42039

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Mathematics Subject Classification ID

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10.1007/S43037-024-00361-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6562478