2012/08/31 by Fernando Chamizo, Chamizo, Fernando, Adrián Ubis +1 · 1 citation
Mathematics · #11L15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #math.CA #math.NT #msc:11L15
paper · pdf · doi:10.48550/arxiv.1208.6533
36 pages, 2 figures. Submitted for publication
arxiv created 2012/08/31 · arxiv updated 2012/09/03
We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives the Hausdorff dimension of the set of points with a given Hölder exponent for f.