Frame spectral pairs and exponential bases
From MaRDI portal
Publication:1982594
DOI10.1007/s00041-021-09872-9zbMath1472.42045arXiv2010.05667OpenAlexW3193880446WikidataQ115609271 ScholiaQ115609271MaRDI QIDQ1982594
Azita Mayeli, Christina Frederick
Publication date: 14 September 2021
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.05667
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Fourier series and coefficients in several variables (42B05)
Related Items (1)
Cites Work
- Combining Riesz bases in \(\mathbb{R}^d\)
- The Fuglede conjecture holds in \(\mathbb{Z}_p\times \mathbb{Z}_p\)
- Complex Hadamard matrices and the spectral set conjecture
- Multi-tiling sets, Riesz bases, and sampling near the critical density in LCA groups
- Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure
- Spectral pairs in Cartesian coordinates
- Harmonic analysis and fractal limit-measures induced by representations of a certain \(C^*\)-algebra
- Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
- The Fuglede spectral conjecture holds for convex planar domains
- The art of frame theory
- Non-symmetric convex domains have no basis of exponentials
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Fuglede's conjecture is false in 5 and higher dimensions
- Size of orthogonal sets of exponentials for the disk
- Spectrality of product domains and Fuglede's conjecture for convex polytopes
- Multi-tiling and Riesz bases
- Finding duality for Riesz bases of exponentials on multi-tiles
- Fuglede’s conjecture for a union of two intervals
- Convex bodies with a point of curvature do not have Fourier bases
- Exponential frames on unbounded sets
- Riesz bases of exponentials on unbounded multi-tiles
- Fuglede’s conjecture fails in dimension 4
- Tiles with no spectra
- Multiple lattice tiles and Riesz bases of exponentials
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
- Orthogonal exponentials on the ball
This page was built for publication: Frame spectral pairs and exponential bases
