A formula of eigenfunction expansions. I: Case of asymptotic trees

DOI10.3792/pjaa.61.11zbMath0619.60007OpenAlexW2081535846MaRDI QIDQ1089663

Kazuhiko Aomoto

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.11

zbMATH Keywords

eigenfunction expansionsPoisson kernelsconnected graph with infinitely many vertices

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

A formula of eigenfunction expansions. I: Case of asymptotic trees ⋮ A formula of eigenfunction expansions. II: Exterior Dirichlet problem in a lattice ⋮ Green functions and spectra on free products of cyclic groups ⋮ Self-adjointness and limit pointness for adjacency operators on a tree ⋮ Algebraic equations for Green kernel on a tree ⋮ The non-backtracking spectrum of the universal cover of a graph

Cites Work

• A formula of eigenfunction expansions. I: Case of asymptotic trees
• Theory of nonlinear lattices
• The spectrum of difference operators and algebraic curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item