Isospectral Operators

被引：19

作者：

Chen, Mu-Fa ^{[1
]}

Zhang, Xu ^{[2
]}

机构：

[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2014年 / 2卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Isospectral; Harmonic function; Integral operator; Differential operator;

D O I：

10.1007/s40304-014-0028-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a large class of integral operators or second-order differential operators, their isospectral (or cospectral) operators are constructed explicitly in terms of h-transform (duality). This provides us a simple way to extend the known knowledge on the spectrum (or the estimation of the principal eigenvalue) from a smaller class of operators to a much larger one. In particular, an open problem about the positivity of the principal eigenvalue for birth-death processes is solved in the paper.

引用

页码：17 / 32

页数：16

共 12 条

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