Asymptotic behaviour of eigenfunctions on semi-homogeneous tree

Authors
Gerardin, P Lai, KF
Citation
P. Gerardin et Kf. Lai, Asymptotic behaviour of eigenfunctions on semi-homogeneous tree, PAC J MATH, 196(2), 2000, pp. 415-427
Citations number
23
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
196
Issue
2
Year of publication
2000
Pages
415 - 427
Database
ISI
SICI code
0030-8730(200012)196:2<415:ABOEOS>2.0.ZU;2-9
Abstract
A function on a tree is said to be harmonic if it is fixed under the averag ing operators. We construct an explicit asymptotic formula giving the bound ary distribution which reproduces the value of a harmonic function on a sem i-homogeneous the tree.