Abstract
We examine diverse local and global aspects of the family of Fourier series ∑n −α e(n k x). In particular, combining number theoretical and harmonic analytic arguments, we study differentiability, Hölder continuity, spectrum of singularities and fractal dimension of the graph.
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Partially supported by the grant MTM 2005-04730 of the MEC. The second author is also supported by an FPU grant of the MEC.
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Chamizo, F., Ubis, A. Some Fourier series with gaps. J Anal Math 101, 179–197 (2007). https://doi.org/10.1007/s11854-007-0007-z
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DOI: https://doi.org/10.1007/s11854-007-0007-z