Spectral analysis of complete graph with infinite chains

被引：0
|
作者：
Lebid, V. O. [1 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereschenkivska Str, UA-01601 Kiev, Ukraine
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2014年 / 6卷 / 01期
关键词：
infinite graph; matrix Jacobi; absolutely continuous spectrum; spectral decomposition; spectral density;
D O I：
10.15330/cmp.6.1.73-78
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper the detailed spectral analysis of a complete graph with semibounded infinite chains is given. The spectrum of a self-adjoint operator which is generated by the adjacency matrix of the graph is defined, the spectral measure is constructed, eigenvectors and spectral expansion in eigenvectors are provided.
引用
收藏
页码：73 / 78
页数：6
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