English

Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis

Complex Variables 2023-04-14 v2

Abstract

In this paper we establish the three balls theorem for functions uu satisfying Du=λuDu=\lambda u in Clifford analysis, where DD is the Dirac operator. As an application, we generalize Hadamard's three circles theorem to monogenic function in Rn+1.\mathbb R^{n+1}.

Cite

@article{arxiv.2110.14991,
  title  = {Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis},
  author = {Weixiong Mai and Jianyu Ou},
  journal= {arXiv preprint arXiv:2110.14991},
  year   = {2023}
}
R2 v1 2026-06-24T07:15:34.070Z