Integral operators with kernels that are discontinuous on broken lines

被引：12

作者：

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

机构：

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

来源：

SBORNIK MATHEMATICS | 2006年 / 197卷 / 11-12期

关键词：

D O I：

10.1070/SM2006v197n11ABEH003817

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the equiconvergence of expansions in trigonometric Fourier series and in eigenfunctions and associated functions of an integral operator whose kernel has discontinuities of the first kind on broken lines formed from the sides and diagonals of the squares obtained by dividing the unit square into n(2) equal squares.

引用

页码：1669 / 1696

页数：28

共 11 条

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