Spectral analysis of two star graph with infinite chains

The detailed spectral analysis of two star graph with semibounded infinite chains is given. The spectrum of 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

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Bibliographic Details
Date:2014
Main Authors: Lebid’, V. O., Лебідь, В. О.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2014
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/73
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine