Irregularities of distribution and geometry of planar convex sets
From MaRDI portal
Publication:2071637
DOI10.1016/j.aim.2021.108162zbMath1487.11075arXiv2104.12017OpenAlexW4225845211MaRDI QIDQ2071637
Giancarlo Travaglini, Luca Brandolini
Publication date: 28 January 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.12017
Fourier transformsRoth's theoremirregularities of distributiongeometric discrepancyCassels-Montgomery lemmainner disk condition
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Irregularities of distribution, discrepancy (11K38)
Related Items (2)
Lower bounds for the directional discrepancy with respect to an interval of rotations ⋮ Irregularities of distribution for bounded sets and half‐spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A characterization theorem for the \(L^{2}\)-discrepancy of integer points in dilated polygons
- Sequences, discrepancies and applications
- Growth properties of Fourier transforms via moduli of continuity
- Irregularities of distribution. I
- Average decay of Fourier transforms and integer points in polyhedra
- Average decay of Fourier transforms and geometry of convex sets
- Sharp rate of average decay of the Fourier transform of a bounded set
- On the Bethe-Sommerfeld conjecture for the polyharmonic operator.
- On irregularities of distribution. IV
- Discrepancy theory
- A panorama of discrepancy theory
- Discrepancy with respect to convex polygons
- Irregularities of distribution. IV
- Applications of geometric discrepancy in numerical analysis and statistics
- 9. Fourier analytic techniques for lattice point discrepancy
- Irregularities of Distribution, II
- Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution
- IN MEMORIAM KLAUS FRIEDRICH ROTH 1925–2015
- Irregularities of distributions with respect to polytopes
- Number Theory, Fourier Analysis and Geometric Discrepancy
- Irregularities of Distribution and Average Decay of Fourier Transforms
- Lp and Weak–Lp estimates for the number of integer points in translated domains
- ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
- On irregularities of distribution
- Note on irregularities of distribution
- Geometric discrepancy. An illustrated guide
This page was built for publication: Irregularities of distribution and geometry of planar convex sets