Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis

Weixiong Mai; Jianyu Ou

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arXiv · 2110.14991

Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis

Weixiong Mai·Jianyu Ou

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Abstract

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

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Weixiong Mai, Jianyu Ou. 2021-10-28. Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis. https://arxiv.org/abs/2110.14991

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