Summation Methods for Fourier Series with Respect to the Azoff–Shehada System

被引：0

作者：

Pyshkin A. ^{[1
]}

机构：

[1] St.Petersburg State University, St.Petersburg

来源：

Journal of Mathematical Sciences | 2016年 / 215卷 / 5期

关键词：

Fourier Series; Operator Algebra; Root Vector; Tridiagonal Matrix; Summation Method;

D O I：

10.1007/s10958-016-2868-0

中图分类号：

学科分类号：

摘要：

A special class of complete minimal systems with complete biorthogonal system in a Hilbert space is considered. This class was introduced by Azoff and Shehada. The paper studies conditions under which there exists a linear summation method for Fourier series with respect to the Azoff–Shehada system. A construction of a linear summation method of the Fourier series for a given vector is presented, as well as a construction of a universal linear summation method. © 2016, Springer Science+Business Media New York.

引用

页码：617 / 623

页数：6

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