Multifractal behavior of polynomial Fourier series
classification
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math.CA
keywords
fourierpolynomialseriessingularitiesspectrumbehaviorboundsdimension
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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 H\"older exponent for f.
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