THE ABSENCE OF SINGULAR CONTINUOUS SPECTRUM FOR PERTURBED JACOBI OPERATORS  

作　　者：傅钲淇 黎雄 Zhengqi FU;Xiong LI(Department of Basic Sciences,Naval Submarine Academy,Qingdao,266199,China;Laboratory of Mathematics and Complex Systems(Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China)

机构地区：[1]Department of Basic Sciences,Naval Submarine Academy,Qingdao,266199,China [2]Laboratory of Mathematics and Complex Systems(Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China

出　　处：《Acta Mathematica Scientia》2024年第2期515-531,共17页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12371158).

摘　　要：This paper is mainly about the spectral properties of a class of Jacobi operators(H_(c,b)u)(n)=c_(n)u(n+1)+c_(n-1)u(n-1)+b_(n)u(n),.where∣c_(n)−1∣=O(n^(−α))and b_(n)=O(n^(−1)).We will show that,forα≥1,the singular continuous spectrum of the operator is empty.

关 键 词：Jacobi operator singular continuous spectrum Prüfer variables 

分 类 号：O177[理学—数学]