In this paper, we give a sharp estimate on the dimension of the space of polynomial growth harmonic functions with fixed degree on a complete Riemannian manifold, under various assumptions.
Cite this article
Yong Hah Lee, Polynomial growth harmonic functions on complete Riemannian manifolds. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 315–332DOI 10.4171/RMI/391