On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in Lp: II

被引：0

作者：

V. M. Kurbanov

机构：

[1] National Academy of Sciences,Institute for Mathematics and Mechanics

来源：

Differential Equations | 2013年 / 49卷

关键词：

Differential Equation; Basis Property; Compact Operator; Root Function; Eigenfunction Expansion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider an ordinary differential operator of arbitrary order, obtain necessary conditions for the Riesz property of systems of normalized root functions, prove an analog of the Riesz theorem, and use it to obtain sufficient conditions for the basis property of the system of root functions of the given operator in Lp.

引用

页码：437 / 449

页数：12

共 50 条

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