Generalization of the Abel-Poisson method for summations of Fourier trigonometric series

被引：2
|
作者：
Trigub, R. M. [1 ]
机构：
[1] Donetsk Natl Univ, Donetsk, Ukraine
来源：
MATHEMATICAL NOTES | 2014年 / 96卷 / 3-4期
关键词：
Fourier series; summation; uniform convergence; Abel transformation; Poisson kernel; Banach space; Bochner-Riesz mean;
D O I：
10.1134/S0001434614090181
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We also note that the problem studied in this paper was posed when the author reported at the seminar on the theory of functions of a real variable at Moscow State University in April 2013. A partial answer was given by the author in his lecture at the International Conference “Contemporary Methods and Problems of Operator Theory and Harmonic Analysis and Their Applications, III” in Rostov-on-Don (Southern Federal University, June 2–6, 2013). © 2014 Pleiades Publishing, Ltd., R. M. Trigub. All rights reserved.
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页码：454 / 457
页数：4
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