Some Fourier series with gaps

被引：16

作者：

Chamizo, Fernando ^{[1
]}

Ubis, Adrian ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Fac Ciencias, Dept Math, Madrid 28049, Spain

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2007年 / 101卷 / 1期

关键词：

D O I：

10.1007/s11854-007-0007-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine diverse local and global aspects of the family of Fourier series Sigma n(-alpha)e(n(k)x). In particular, combining number theoretical and harmonic analytic arguments, we study differentiability, Holder continuity, spectrum of singularities and fractal dimension of the graph.

引用

页码：179 / 197

页数：19

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