Geometric incidence theorems via Fourier analysis

DOI10.1090/S0002-9947-09-04866-1zbMath1180.42014arXiv0709.3786OpenAlexW1987084582MaRDI QIDQ3648209

Alexander Iosevich, Izabella Łaba, Hadi Jorati

Publication date: 24 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3786

zbMATH Keywords

Radon transformFourier analysisincidence theorem\(L^2\)-Sobolev bound

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Length, area, volume, other geometric measure theory (28A75)

Related Items (7)

Intersections of sets and Fourier analysis ⋮ The triangle averaging operator ⋮ Fourier integral operators, fractal sets, and the regular value theorem ⋮ An incidence theorem in higher dimensions ⋮ On the Approximate Unit Distance Problem ⋮ Areas spanned by point configurations in the plane ⋮ Three-point configurations determined by subsets of \({\mathbb{F}_q}^2\) via the Elekes-Sharir paradigm

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