Some Fourier series with gaps

被引：0
作者：
Fernando Chamizo
Adrián Ubis
机构：
[1] Universidad Autónoma de Madrid,Departamento de Matemáticas, Facultad de Ciencias
来源：
Journal d'Analyse Mathématique | 2007年 / 101卷
关键词：
Fractal Dimension; Fourier Series; Hausdorff Dimension; Diophantine Approximation; Hurwitz Zeta Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We examine diverse local and global aspects of the family of Fourier series ∑n−αe(nkx). 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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页码：179 / 197
页数：18
相关论文
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