Spectral analysis of complete graph with infinite chains

  • V.O. Lebid Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01601, Kyiv, Ukraine
https://doi.org/10.15330/cmp.6.1.73-78
Keywords: infinite graph, matrix Jacobi, absolutely continuous spectrum, spectral decomposition, spectral density
Published online: 2014-07-14

Abstract


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.
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How to Cite
(1)
Lebid V. Spectral Analysis of Complete Graph With Infinite Chains. Carpathian Math. Publ. 2014, 6 (1), 73-78.