On some properties of sparse sets: a survey
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Publication:6119193
DOI10.4171/ICM2022/153OpenAlexW4389775472MaRDI QIDQ6119193
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/153
Hausdorff dimensionFourier dimensionEuclidean Ramsey theorydifferentiation theoremsgrowth of Laplace-Beltrami eigenfunctions on manifolds
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractals (28A80) Ramsey theory (05D10) Spectral theory; eigenvalue problems on manifolds (58C40) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
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