Riesz bases, Meyer’s quasicrystals, and bounded remainder sets
From MaRDI portal
Publication:4608778
DOI10.1090/tran/7157zbMath1390.42013arXiv1602.00495OpenAlexW2964045234MaRDI QIDQ4608778
Publication date: 28 March 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00495
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Irregularities of distribution, discrepancy (11K38) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23)
Related Items (6)
Riesz bases of exponentials for convex polytopes with symmetric faces ⋮ On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces ⋮ Exponential type bases on a finite union of certain disjoint intervals of equal length ⋮ On sampling and interpolation by model sets ⋮ Unnamed Item ⋮ Riesz bases of exponentials and the Bohr topology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Universal sampling, quasicrystals and bounded remainder sets
- Revisiting Landau's density theorems for Paley-Wiener spaces
- Combining Riesz bases in \(\mathbb{R}^d\)
- Exponential Riesz bases, discrepancy of irrational rotations and BMO
- A variant of compressed sensing
- Sur les fonctions moyenne-périodiques bornées
- Quasicrystals: The view from Les Houches
- Universal sampling and interpolation of band-limited signals
- Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
- Complete interpolating sequences for Fourier transforms supported by convex symmetric pol\-y\-gons
- Fourier frames
- Sets of bounded discrepancy for multi-dimensional irrational rotation
- Quasicrystals are sets of stable sampling
- On multi-dimensional sampling and interpolation
- Multi-tiling and Riesz bases
- Universal sampling of band-limited signals
- Combining Riesz bases
- Addendum to: ``Quasicrystals, almost periodic patterns, mean periodic functions and irregular sampling
- Necessary density conditions for sampling an interpolation of certain entire functions
- Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969
- Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices
- Riesz bases of exponentials on multiband spectra
- Simple quasicrystals are sets of stable sampling
- Multiple lattice tiles and Riesz bases of exponentials
- On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
- Über die Verteilung der Vielfachen einer komplexen Zahl nach dem Modul des Einheitsquadrats
This page was built for publication: Riesz bases, Meyer’s quasicrystals, and bounded remainder sets