The Equiconvergence of Expansions in Eigenfunctions and Associated Functions of an Integral Operator with Involution

被引：0

作者：

Kuvardina, L. P. ^{[1
]}

Khromov, A. P. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Ul Astrakhanskaya 83, Saratov 410026, Russia

来源：

RUSSIAN MATHEMATICS | 2008年 / 52卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

integral operator; resolvent; involution; eigenfunctions and associated functions; Fourier series;

D O I：

10.3103/S1066369X08050071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study an integral operator with involution. We solve the problem on the exact inversion of this operator, we obtain and study the integro-differential system for the Fredholm resolvent and, finally, we prove the theorem on the equiconvergence of expansions in eigenfunctions and associated functions, in the usual trigonometric system.

引用

页码：58 / 66

页数：9

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