Polyharmonic functions on trees

DOI10.1353/ajm.2002.0027zbMath1025.31003OpenAlexW2138231578MaRDI QIDQ4781467

David Singman, Joel M. Cohen, Flavia Colonna, Kohur Gowrisankaran

Publication date: 22 May 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm124.5.html

zbMATH Keywords

polyharmonic functionshomogeneous treebiharmonic functionspolymartingales

Mathematics Subject Classification ID

Trees (05C05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Discrete potential theory (31C20)

Related Items (12)

Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Boundary behaviour of \(\lambda \)-polyharmonic functions on regular trees ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ Polyharmonic potential theory on the Poincaré disk ⋮ Stochastic processes under constraints. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees ⋮ Laplace and bi-Laplace equations for directed networks and Markov chains ⋮ Polyharmonic Functions for Finite Graphs and Markov Chains ⋮ (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries ⋮ A global Riesz decomposition theorem on trees without positive potentials ⋮ Distributions and measures on the boundary of a tree ⋮ Biharmonic Green functions on homogeneous trees

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