Spectrum of a homogeneous graph

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Chen, C.¹  Chu, C. -H.¹ 

[1] Univ London, Sch Math Sci, London E1 4NS, England

关键词: spectrum;    Laplacian;    homogeneous graph;    convolution operator;    group representation;    Hamack inequality;   

DOI  :  10.1016/j.jmaa.2008.06.027

来源: Elsevier

【 摘 要 】

We describe the spectrum of the Laplacian for a homogeneous graph acted on by a discrete group. This follows from a more general result which describes the spectrum of a convolution operator on a homogeneous space of a locally compact group. We also prove a version of Harnack inequality for a Schrodinger operator on an invariant homogeneous graph. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free