Application of the Borel transform to the study of the spectrum of integral equations whose kernels are entire functions of exponential type

被引：0

作者：

Rao, M ^{[1
]}

Shen, LC ^{[1
]}

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 08期

关键词：

Borel transform; Bessel functions; conjugate indicator diagram; entire functions of exponential type; integral equation;

D O I：

10.1090/S0002-9939-02-06641-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Borel transform, we study the spectrum of a class of non-compact integral operators whose kernels are of exponential type and square integrable on the real line. Our method also enables us to obtain an interesting characterization of a well-known integral equation involving the Bessel function J(0).

引用

页码：2287 / 2294

页数：8