Isospectral Operators  

作　　者：Mu-Fa Chen Xu Zhang 

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems(Beijing Normal University),Ministry of Education,Beijing 100875,People’s Republic of China [2]College of Applied Sciences,Beijing University of Technology,Beijing 100022,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2014年第1期17-32,共16页数学与统计通讯（英文）

基　　金：The results of the paper were presented several times in our seminar,from which the authors are benefited a lot from the discussions and suggestions.Research supported in part by the National Natural Science Foundation of China(No.11131003);the“985”project from the Ministry of Education in China,and the Project Funded by the Priority Academic Program Development of JiangsuHigher Education Institutions.

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 htransform(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.

关 键 词：Isospectral·Harmonic function Integral operator Differential operator 

分 类 号：O17[理学—数学]