Inverse spectral problem for the Laguerre differential operator

被引：3

作者：

Boumenir, A ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 224卷 / 02期

关键词：

D O I：

10.1006/jmaa.1998.6000

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a self-adjoint operator associated with the following given set of eigenvalues: {an + c}(n) (less than or equal to) (-1) boolean OR {an + b}(n greater than or equal to 0). This problem arises in sampling theory and deals with the construction of an interpolating basis associated with a given set of sampling points, the so-called two sided cardinal series. In order to solve this inverse spectral problem we shall need to extend the Gelfand-Levitan theory to operators close to the Laguerre differential operator. (C) 1998 Academic Press.

引用

页码：218 / 240

页数：23

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