Distance measures for well-distributed sets

DOI10.1007/s00454-007-1316-9zbMath1128.28003OpenAlexW2054320402MaRDI QIDQ2385142

Alexander Iosevich, Michael Rudnev

Publication date: 11 October 2007

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-007-1316-9

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (10)

Examples of measures with slow decay of the spherical means of the Fourier transform ⋮ A NOTE ON LOCALISED WEIGHTED INEQUALITIES FOR THE EXTENSION OPERATOR ⋮ Average decay of the Fourier transform of measures with applications ⋮ A sharp 𝑘-plane Strichartz inequality for the Schrödinger equation ⋮ Sharpness of Falconer's (d+1)/2 estimate ⋮ Erdös distance problem in vector spaces over finite fields ⋮ On Falconer's distance set problem in the plane ⋮ Geometric incidence theorems via Fourier analysis ⋮ Sharpness of Falconer’s Estimate and the Single Distance Problem in $$\mathbb{Z}_{q}^{d}$$ ⋮ Convergence over fractals for the Schroedinger equation

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