Polyharmonic functions on trees
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Publication:4781467
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
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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