Selberg's trace formula on the \(k\)-regular tree and applications

DOI10.1155/S016117120311126XzbMath1083.11032MaRDI QIDQ1864289

Dorothy I. Wallace, Audrey A. Terras

Publication date: 17 March 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52172

zbMATH Keywords

spherical functionsSelberg trace formulaIhara zeta functionpretrace formula

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Harmonic analysis and spherical functions (43A90)

Related Items (7)

Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs ⋮ Dendrimer eigen-characteristics ⋮ Local Kesten-McKay law for random regular graphs ⋮ A lattice point problem on the regular tree ⋮ Discrete diffusion-type equation on regular graphs and its applications ⋮ Non-localization of eigenfunctions on large regular graphs ⋮ Heat kernels on regular graphs and generalized Ihara zeta function formulas

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