Algebraic equations for Green kernel on a tree
type: Item
instance of: scholarly article
title: Algebraic equations for Green kernel on a tree
zbMATH Open document ID: 0699.05025
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: The purpose of this note is to extend earlier results of the author to include algebraicity of Green functions to an arbitrary tree. An explicit formula is given for a Green function, representing the resolvent of a symmetric, self-adjoint operator on the space of square summable complex valued functions on the set of vertices of a connected, locally finite tree.
reviewed by: Suzanne Lenhart
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4145924
zbMATH Keywords: Green function
zbMATH Keywords: resolvent of a symmetric, self-adjoint operator on the space of
zbMATH Keywords: square summable complex valued functions on the set of vertices of
zbMATH Keywords: a connected, locally finite tree
zbMATH Keywords: resolvent of a symmetric, self- adjoint operator on the space of square summable complex valued functions on the set of vertices of a connected, locally finite tree
author: Kazuhiko Aomoto
MaRDI profile type: Publication
full work available at URL: pjaa.64.123
OpenAlex ID: W2047745492
cites work: Q3706278
cites work: A formula of eigenfunction expansions. I: Case of asymptotic trees
cites work: Q3819762
cites work: Point spectrum on a quasi homogeneous tree
cites work: Self-adjointness and limit pointness for adjacency operators on a tree
cites work: Q4769263
cites work: Q3320867
cites work: A Survey on Spectra of infinite Graphs
DOI: 10.3792/PJAA.64.123
description: scientific article; zbMATH DE number 4145924