A new method of summation of Fourier series converging in C-norm

被引：20
|
作者：
Sobolevskii, P [1 ]
机构：
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
来源：
SEMIGROUP FORUM | 2005年 / 71卷 / 02期
关键词：
Banach Space; Fourier Series; Positive Operator; Small Deformation; Fractional Power;
D O I：
10.1007/s00233-005-0521-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new method is based on some properties of a semigroup of fractional powers of some positive operator in Banach space. This method uses an essentially smaller deformation of an ordinary partial sum of the Fourier series than in Cesaro's method or in its generalizations.
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页码：289 / 300
页数：12
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