APPROXIMATION OF SPHERICAL MEANS OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE

APPROXIMATION OF SPHERICAL MEANS OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE

下载PDF

导出

摘要 In this paper we consider the approximation for functions in some subspaces of L^2 by spherical means of their Fourier integrals and Fourier series on set of full measure. Two main theorems are obtained. In this paper we consider the approximation for functions in some subspaces of L^2 by spherical means of their Fourier integrals and Fourier series on set of full measure. Two main theorems are obtained.

作者 Wang Shiming Zhejiang Institute of Technology, China Math. Section Dept. of Basic Courses Zhejiang Institute of Technology, Hangzhou, 310014, China

出处《Analysis in Theory and Applications》 1994年第2期17-23,共7页 分析理论与应用（英文刊）

关键词 SET Th Pro APPROXIMATION OF SPHERICAL MEANS OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE WANG

分类号 O174 [理学—基础数学]

引文网络
相关文献

1陆善镇.L^2 NORM INEQUALITY WITH POWER WEIGHTS FOR THE MAXIMAL RIESZ SPHERICAL MEANS[J].Chinese Science Bulletin,1986,31(16):1087-1091.
2Yao Duan-zheng,Ding Di-hua,Wang Ren-hui,Hu Cheng-zheng.Evaluation of Some Fourier Integrals in N-Dimensional Space for the Theory of Dislocations in Quasicrystals[J].Wuhan University Journal of Natural Sciences,2001,6(4):787-790.
3Wang 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.
4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.
5Lu Zhikang.APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION[J].Analysis in Theory and Applications,1993,9(1):33-41.
6陆善镇.(C,1) SUMMABILITY OF MULTIPLE CONJUGATE FOURIER INTEGRALS[J].Chinese Science Bulletin,1981,26(3):200-204.
7F.BRACKX,R.DELANGHE,F.SOMMEN.SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS[J].Chinese Annals of Mathematics,Series B,2003,24(2):133-146. 被引量：5
8陆善镇.SPHERICAL SUMMABILITY OF MULTIPLE FOURIER SERIES AND CONJUGATE FOURIER INTEGRALS[J].Chinese Science Bulletin,1980,25(2):108-112.
9FredBRACKX,BramDeKNOCK,HennieDeSCHEPPER.Multi-vector Spherical Monogenics,Spherical Means and Distributions in Clifford Analysis[J].Acta Mathematica Sinica,English Series,2005,21(5):1197-1208. 被引量：2
10Yu 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.

Analysis in Theory and Applications

1994年第2期

浏览历史

内容加载中请稍等...

APPROXIMATION OF SPHERICAL MEANS OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE

相关作者

相关机构

相关主题

浏览历史