Algebraic equations for Green kernel on a tree

DOI10.3792/pjaa.64.123zbMath0699.05025OpenAlexW2047745492MaRDI QIDQ912858

Kazuhiko Aomoto

Publication date: 1988

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.64.123

zbMATH Keywords

Green functiona connected, locally finite treeresolvent 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 treeresolvent of a symmetric, self-adjoint operator on the space ofsquare summable complex valued functions on the set of vertices of

Mathematics Subject Classification ID

Trees (05C05) Fundamental solutions to PDEs (35A08) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items

Periodic Jacobi matrices on trees, Spectra of infinite graphs via freeness with amalgamation, Self-adjointness and limit pointness for adjacency operators on a tree, Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality, Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum, The non-backtracking spectrum of the universal cover of a graph, Poisson transform on a locally finite tree

Cites Work

• Self-adjointness and limit pointness for adjacency operators on a tree
• A formula of eigenfunction expansions. I: Case of asymptotic trees
• Point spectrum on a quasi homogeneous tree
• A Survey on Spectra of infinite Graphs
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