Two problems associated with convex finite type domains

DOI10.5565/PUBLMAT_46102_09zbMath1012.42006OpenAlexW2114837139MaRDI QIDQ699473

Alexander Iosevich, Andreas Seeger, Eric T. Sawyer

Publication date: 15 June 2003

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41448

zbMATH Keywords

lattice pointsconvex bodiesCarleson-Sjölin theoremfinite line typequasiradial Bochner-Riesz means

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Lattice points in specified regions (11P21)

Related Items (8)

Lattice points in large convex planar domains of finite type ⋮ A note on lattice points in model domains of finite type in \({\mathbb{R}^d}\) ⋮ Discrepancy for convex bodies with isolated flat points ⋮ Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals ⋮ Mean square discrepancy bounds for the number of lattice points in large convex bodies ⋮ Lattice points in rotated convex domains ⋮ A note on lattice points and optimal stretching ⋮ Lattice points in stretched finite type domains

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