Vol. 196, No. 2, 2000
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Asymptotic behaviour of eigenfunctions on semi-homogeneous tree

P. Gérardin & K.F. Lai

Abstract

A function on a tree is said to be harmonic if it is fixed under the averaging operators. We construct an explicit asymptotic formula giving the boundary distribution which reproduces the value of a harmonic function on a semi-homogeneous the tree.
Authors
P. Gérardin
C.N.R.S. Université Paris VII
2, place Jussieu
F-75251 Paris Cedex 5
France
K.F. Lai
School of Mathematics and Statistics
University of Sydney
N.S.W. 2006
Australia