Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis

2021/10/28 by Weixiong Mai, Mai, Weixiong, Jianyu Ou +1
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2110.14991

openalex publication_date 2021/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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