APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION

APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION

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摘要 In this paper we study the approximation of Fourier integral by Bochner-Riesz means under one-side condition and improve the results in[1]. In this paper we study the approximation of Fourier integral by Bochner-Riesz means under one-side condition and improve the results in[1].

作者 Lu Zhikang

机构地区 Department of Mathematics Hangzhou Teacher's College Hangzhou

出处《Analysis in Theory and Applications》 1993年第1期33-41,共9页 分析理论与应用（英文刊）

分类号 O1 [理学—基础数学]

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1Shanzhen LU.Conjectures and problems on Bochner-Riesz means[J].Frontiers of Mathematics in China,2013,8(6):1237-1251. 被引量：1
2Wang Shiming Zhejiang Institute of Technology, China Mathematics Section Department of Basic Courses Zhejiang Institute of Technology Hangzhou, 310014 P. R. China.APPROXIMATION OF BOCHNER-RIESZ MEANS 0F CONJUGATE FOURIER INTEGRALS BEL0W THE CRITICAL INDEX[J].Analysis in Theory and Applications,1994,10(2):32-42.
3张严.CONVERGENCE AND APPROXIMATION BEHAVIOURS OF THE GENERALIZED ABEL MEANS DEFINED IN H^p(T^n) (0<p≤1)[J].Chinese Science Bulletin,1988,33(21):1758-1762.
4王时铭.APPROXIMATION ON SET OF TOTAL MEASURE OF BOCHNER-RIESZ MEANS BELOW THE CRITICAL INDEX[J].Analysis in Theory and Applications,1992,8(1):75-86.
5Wu Zhaoji(Suzhou Vocational CollegeSuzhou 215011 PRCosky@163. net).ON ALMOST EVERYWHERE SUMMABILITY OF CONJUGATE BOCHNER-RIESZ MEANS[J].Analysis in Theory and Applications,2000,16(2):52-57.
6Ma Bolin (Zhejiang University ,China).ALMOST-EVERY WHERE CONVERGENCE OF BOCHNER-RIESZ MEANS IN BESSEL POTENTIAL SPACES[J].Analysis in Theory and Applications,1997,13(4):13-18.
7陆善镇,杨大春.THE BOUNDEDNESS OF BO CHNER-RIESZ MEANS B_R~δ(f)ON THE SPACES■_p^(α,q)[J].Analysis in Theory and Applications,1992,8(1):28-39.
8Yu Maohe Kunming Hydropower Scientific Research Institute, China.ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ MEANS[J].Analysis in Theory and Applications,1993,9(2):37-49.
9Zhu Fuliu Department of Mathematics, Wuhan University, Wuhan 430072, China.Almost Everywhere Convergence of Riesz Means on Noncompact Symmetric Space SL(3,H)/SP(3)[J].Acta Mathematica Sinica,English Series,1997,13(4):545-552.
10陆善镇.L^2 NORM INEQUALITY WITH POWER WEIGHTS FOR THE MAXIMAL RIESZ SPHERICAL MEANS[J].Chinese Science Bulletin,1986,31(16):1087-1091.

Analysis in Theory and Applications

1993年第1期

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APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION

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