Analytic eigendistributions and applications to homogeneous trees.

DOI10.1016/S0196-8858(02)00031-3zbMath1068.31006OpenAlexW2061881543MaRDI QIDQ1867012

Flavia Colonna, Joel M. Cohen

Publication date: 2 April 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(02)00031-3

zbMATH Keywords

DistributionsHomogeneous treesEigenfunctions of the LaplacianExponential growth condition

Mathematics Subject Classification ID

Distributions, generalized functions, distribution spaces (46F99) Linear difference operators (47B39) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• The Poisson transform and representations of a free group
• The 2-circle and 2-disk problems on trees
• Univalent functions. Selected topics
• Spectral analysis on homogeneous trees
• Die linearen vollkommenen Räume der Funktionentheorie
• Hardy Spaces of Harmonic Functions on Homogeneous Isotropic Trees
• Radial functions on free groups and a decomposition of the regular representation into irreducible components.
• The radial Fourier-Stieltjes algebra of free groups
• Fourier Analysis on Local Fields. (MN-15)