Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals

被引：2

作者：

Kurdyumov, V. P. ^{[1
]}

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

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

IZVESTIYA MATHEMATICS | 2012年 / 76卷 / 06期

关键词：

Riesz basis; resolvent; characteristic number; eigenfunction; involution; DIFFERENTIAL-EQUATION; VARIABLE LIMIT; EQUICONVERGENCE; EXPANSIONS;

D O I：

10.1070/IM2012v076n06ABEH002620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Riesz basis property in L-2[0, 1] for the family of eigenfunctions and adjoint functions of an integral operator whose kernel is discontinuous on the diagonals t = x and t = 1 - x.

引用

页码：1175 / 1189

页数：15

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