On the Localization of the Riesz Means of Multiple Fourier Series of Distributions

被引:6
作者
Rakhimov, A. A. [1 ]
机构
[1] Univ Putra Malaysia, Inst Math Res, Serdang 43300, Selangor, Malaysia
关键词
EXPANSIONS; INVERSION;
D O I
10.1155/2011/731249
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.
引用
收藏
页数:8
相关论文
共 16 条
[1]  
Alimov S.A., 1977, RUSS MATH SURV, V32, P115
[2]  
Alimov S.A., 1976, RUSS MATH SURV, V31, P29
[3]  
Alimov SA, 1997, DIFF EQUAT+, V33, P80
[4]  
Alimov Sh.A., 1996, DIFFER URAVN, V32, P792
[5]  
[Anonymous], 1993, DOCLADY MATH
[6]   SPECTRAL FUNCTION OF AN ELLIPTIC OPERATOR [J].
HORMANDER, L .
ACTA MATHEMATICA UPPSALA, 1968, 121 (3-4) :193-+
[7]   Pointwise Fourier inversion: a wave equation approach [J].
Pinsky, MA ;
Taylor, ME .
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (06) :647-703
[9]  
Rakhimov A. A., 2010, J ASTROPHYSICS APPL, V1, P21
[10]  
Rakhimov A A, 2003, J IZVESTIYA VUZOV, V3-4, P47