Analytic wavelets in multiply connected domains with circular boundaries

被引：0
|
作者：
Dubosarskii, G. A. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Div, Ekaterinburg, Russia
[2] Ural Fed Univ, Inst Math & Comp Sci, Ekaterinburg, Russia
来源：
MATHEMATICAL NOTES | 2014年 / 95卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
analytic wavelet; basis in a Hardy-type space of analytic functions; wavelet expansion;
D O I：
10.1134/S0001434614030080
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Wavelet bases in Hardy-type spaces of analytic functions in a domain with circular boundaries are constructed from a wavelet basis in the Hardy space of functions analytic in the disk. An estimate of the rate of convergence of the partial sums of the constructed wavelets is also obtained.
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页码：359 / 373
页数：15
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