Sets of Uniqueness for Infrapolymonogenic Functions

Abstract:

We prove that k distinct concentric spheres are a set of uniqueness for infrapolymonogenic functions in Euclidean spaces of odd dimension. In even dimension, we provide examples of non-zero infrapolymonogenic functions which vanish in k distinct concentric spheres.

Año de publicación:

2023

Keywords:

• Dirac operator
• inframonogenic functions
• Clifford analysis
• Set of uniqueness

Fuente:

scopus