Distributions and measures on the boundary of a tree

DOI10.1016/j.jmaa.2003.12.015zbMath1054.31004OpenAlexW2082772155MaRDI QIDQ1827072

Flavia Colonna, Joel M. Cohen, David Singman

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.015

zbMATH Keywords

space of distributionsultrametric spacesspace of measuresboundary behavior of polyharmonic functions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Spaces of measures, convergence of measures (28A33) Boundary behavior of harmonic functions in higher dimensions (31B25) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (4)

Boundary behaviour of \(\lambda \)-polyharmonic functions on regular trees ⋮ Poisson kernel expansions for Schrödinger operators on trees ⋮ Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics

Cites Work

• Trees, ultrametric spaces and bases with uniform structure
• Extreme points of the Bloch space of a homogeneous tree
• Polyharmonic functions on trees
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