On Riesz Bases of Eigenfunctions of Integral Operators with Kernels Discontinuous on Diagonals

被引：1

作者：

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

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

机构：

[1] NG Chernyshevskii Saratov State Univ, Saratov 410012, Russia

来源：

DOKLADY MATHEMATICS | 2011年 / 84卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Integral Operator; Russian Mathematician; Doklady Mathematic; Riesz Base; Neigh Borhoods;

D O I：

10.1134/S1064562411050097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Riesz bases of eigenfunctions of integral operators with kernels discontinuous on diagonals are considered. Operator and integral operators of more general form, whose kernels are allowed to have discontinuities, are also considered. The vanishing of the range of operator at x = 0 makes it possible to prove the basis property under only one additional requirement. The operator A to an operator on the space of vector-functions of dimension 2 is considered. For any finite set of integers sufficiently large in absolute value, all characteristic numbers of the operator A sufficiently large in absolute value are prime.

引用

页码：548 / 550

页数：3

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