On the rationality of the spectrum
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Publication:667662
DOI10.1007/s00041-017-9552-8zbMath1408.42022arXiv1606.04814OpenAlexW2963271040MaRDI QIDQ667662
Publication date: 1 March 2019
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.04814
spectrumrationalityrecurrence sequencesspectral setszeros of exponential polynomialsFuglede's conjecture
Recurrences (11B37) General harmonic expansions, frames (42C15) Exponential Diophantine equations (11D61) Harmonic analysis in one variable (42A99)
Related Items (1)
Cites Work
- Spectral sets and tiles on vector space over local fields
- Periodicity of the spectrum in dimension one
- The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\)
- Spectrum is periodic for \(n\)-intervals
- The Fuglede spectral conjecture holds for convex planar domains
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Fuglede's conjecture is false in 5 and higher dimensions
- Tiling the line with translates of one tile
- Fuglede's conjecture holds in \(\mathbb{Q}_p\)
- Fuglede's spectral set conjecture for convex polytopes
- A note on recurring series
- Fuglede’s conjecture for a union of two intervals
- On Fuglede's conjecture for three intervals
- THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS
- “Spectral implies Tiling” for three intervals revisited
- On sets of integers containing k elements in arithmetic progression
- Fuglede's conjecture on cyclic groups of order pnq
- Some reductions of the spectral set conjecture to integers
- Fuglede’s conjecture fails in dimension 4
- Tiles with no spectra
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