Integral operators with discontinuous kernels

被引：1
作者：
Khromov, A. P. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov 410026, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Integral Operator; Discontinuous Kernel;
D O I：
10.1134/S1064562406010157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The equiconvergence of expansions of an arbitrary function and associated functions of the integral operators are studied. It is assumed that all the eigenvalues of B are different and nonzero and are enumerated depending an arg λ. For differential operators, the regularity conditions for boundary conditions cover all the cases concerning important facts. The resolvent increases exponentially with respect to λ and as in the case of differential operators with irregular splitting boundary conditions, only analytic functions can be calculated.
引用
收藏
页码：54 / 58
页数：5
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