Fourier integral operators, fractal sets, and the regular value theorem

DOI10.1016/J.AIM.2011.07.012zbMath1239.28004arXiv1011.5939OpenAlexW2962897684MaRDI QIDQ643440

Krystal Taylor, Suresh Eswarathasan, Alexander Iosevich

Publication date: 28 October 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5939

zbMATH Keywords

lattice pointsFourier integral operatorsgeneralized radon transformsregular value theorem

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Fourier integral operators applied to PDEs (35S30)

Related Items (11)

Hausdorff dimension of intersections with planes and general sets ⋮ Intersections of sets and Fourier analysis ⋮ Falconer-type estimates for dot products ⋮ On the Mattila–Sjölin distance theorem for product sets ⋮ Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma ⋮ Falconer type functions in three variables ⋮ Unnamed Item ⋮ On Falconer's distance set problem in the plane ⋮ Pinned distance problem, slicing measures, and local smoothing estimates ⋮ Improvement on 2-chains inside thin subsets of Euclidean spaces ⋮ Areas spanned by point configurations in the plane

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