Hilbert transform of a wavelet system: Boundedness of orthogonal projections in the uniform norm

被引：0

作者：

Gevorkyan, G. G. ^{[1
]}

Kamont, Anna ^{[2
]}

机构：

[1] Yerevan State Univ, Yerevan 375049, Armenia

[2] Polish Acad Sci, Inst Math, Sopot, Poland

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 04期

关键词：

Wavelet; Hilbert transform; orthogonal projection; L-infinity-boundedness; CONVERGENCE; EXPANSIONS; CONJUGATE;

D O I：

10.3103/S1068362312040012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let psi be a wavelet associated with a scaling function phi, and let be the Hilbert transform of psi. Under some natural conditions on the smoothness and decay of phi, we show that the orthogonal projections onto the spaces generated by are bounded in the uniform norm.

引用

页码：161 / 167

页数：7

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