Some Fourier series with gaps

We examine diverse local and global aspects of the family of Fourier series ∑n^sup -α^ e(n^sup 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.[PUBLICATION...

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Bibliographic Details
Published inJournal d'analyse mathématique (Jerusalem) Vol. 101; no. 1; pp. 179 - 197
Main Authors Chamizo, Fernando, Ubis, Adrián
Format Journal Article
LanguageEnglish
Published Jerusalem Springer Nature B.V 01.03.2007
Subjects
Fractals
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Summary:We examine diverse local and global aspects of the family of Fourier series ∑n^sup -α^ e(n^sup 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.[PUBLICATION ABSTRACT]
ISSN:0021-7670
1565-8538
DOI:10.1007/s11854-007-0007-z