Skip to main content
SpringerLink
Log in

A Two-Spheres Problem on Homogeneous Trees

  • Original Paper
  • Published:
Combinatorica Aims and scope Submit manuscript

m

, n two relatively prime natural numbers, if a complex valued function f on a homogeneous tree satisfies the mean value property for all spheres of radius m and all spheres of radius n, then f is harmonic.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Heidelberg; Im Neuenheimer Feld 294, 69120 Heidelberg, GERMANY; E-mail: m29@ix.urz.uni-heidelberg.de. From September 1998: Institut de Mathématiques, Université de Lausanne; 10105 Lausanne, Switzerland;, , , , , , DE

    Francisco Javier González Vieli

Authors
  1. Francisco Javier González Vieli
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: November 27, 1995/Revised: Revised March 16, 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vieli, F. A Two-Spheres Problem on Homogeneous Trees. Combinatorica 18, 185–189 (1998). https://doi.org/10.1007/PL00009815

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00009815

Search

Navigation