Approximation by Riesz means on the rotation group SO(3)

Yang Zhuyuan; Li Luoqing

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Approximation by Riesz means on the rotation group SO(3)

机译：Riesz意味着在旋转组上的近似（3）

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摘要

This paper deals with the approximation properties of Riesz means in Lp(SO(3)). The convergence rate of the Riesz means is obtained. The equivalence of Riesz means and the Peetre K-functional on the rotation group SO(3) is established.

机译：None

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《International Journal of Wavelets, Multiresolution and Information Processing》 |2017年第4期|共11页
作者
Yang Zhuyuan; Li Luoqing;
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作者单位

Yunnan Minzu Univ Sch Math &

Comp Sci Kunming 650031 Peoples R China;

Hubei Univ Fac Math &

Stat Wuhan 430062 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
Rotation group; Riesz means; approximation;

机译：旋转组;RIESZ表示;近似;

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1. Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation [J] . 高等学校计算数学学报（英文版） . 2007,第003期
2. ON APPROXIMATION BY SPHERICAL ZONAL TRANSLATION NETWORKS BASED ON BOCHNER-RIESZ MEANS [J] . SHENG Baohuai, LI Hongtao 系统科学与复杂性：英文版 . 2005,第003期
3. RIESZ FRAMES AND APPROXIMATION OF THE FRAME COEFFICIENTS [J] . Peter G.Casazza, Ole Christensen 分析论及其应用：英文版 . 1998,第002期
4. APPROXIMATION OF BOCHNER-RIESZ MEANS 0F CONJUGATE FOURIER INTEGRALS BEL0W THE CRITICAL INDEX [J] . 分析论及其应用：英文版 . 1994,第002期
5. APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION [J] . Lu Zhikang 分析论及其应用：英文版 . 1993,第001期
6. Erratum: "Approximation by Riesz Means on the Rotation Group SO(3)" [J] . Zhuyuan Yang, Luoqing Li International Journal of Wavelets, Multiresolution and Information Processing . 2018,第1期

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Approximation by Riesz means on the rotation group SO(3)

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