Abstract
This paper studies the boundary behaviour of λ-polyharmonic functions for the simple random walk operator on a regular tree, where λ is complex and |λ>ρ, the ℓ2-spectral radius of the random walk. In particular, subject to normalisation by spherical, resp. polyspherical functions, Dirichlet and Riquier problems at infinity are solved, and a non-tangential Fatou theorem is proved.
Originalsprache | englisch |
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Seiten (von - bis) | 35-50 |
Seitenumfang | 16 |
Fachzeitschrift | Annali di Matematica Pura ed Applicata |
Jahrgang | 200 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - Feb. 2021 |
ASJC Scopus subject areas
- Angewandte Mathematik
Fields of Expertise
- Information, Communication & Computing