Self-adjointness and limit pointness for adjacency operators on a tree

DOI10.1007/BF02793415zbMath0698.47017OpenAlexW2085254837MaRDI QIDQ912369

Kazuhiko Aomoto

Publication date: 1989

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02793415

zbMATH Keywords

Green functionsinfinite system of algebraic equationsEquivalence of self-adjointness and limit pointness for symmetric adjacency operators on a tree

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (6)

Algebraic equations for Green kernel on a tree ⋮ The adjacency matrix and the discrete Laplacian acting on forms ⋮ Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians ⋮ Poisson transform on a locally finite tree ⋮ The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs ⋮ Weighted shifts on directed trees

Cites Work

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• Algebraic equations for Green kernel on a tree
• A formula of eigenfunction expansions. I: Case of asymptotic trees
• An analytic series of irreducible representations of the free group
• Context-free languages and random walks on groups
• An analytic family of uniformly bounded representations of free groups
• Harmonic analysis for anisotropic random walks on homogeneous trees
• On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions

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