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This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017.
CAZAC sequences and Haagerup's characterization of cyclic N-roots.- Hardy spaces with variable exponents.- Regularity of maximal operators: recent progress and some open problems.- Gabor Frames: Characterizations and Coarse Structure.- On the approximate unit distance problem.- Hausdorff dimension, projections, intersections, and Besicovitch sets.- Dyadic harmonic analysis and weighted inequalities: the sparse revolution.- Sharp quantitative weighted BMO estimates and a new proof of the Harboure-Macías-Segovia's extrapolation theorem.- Lq dimensions of self-similar measures, and applications: a survey.- Sample paths properties of the set-indexed fractional Brownian motion.