Generalized mean value property in the limit for eigenfunctions of the Laplacian on $\mathbb{R}^n$
Volume 169 / 2022
Colloquium Mathematicum 169 (2022), 255-267
MSC: Primary 35J05; Secondary 42B37.
DOI: 10.4064/cm8554-6-2021
Published online: 4 March 2022
Abstract
We characterize all eigenfunctions of the Laplacian on $\mathbb R^n$ through a generalized spherical mean value property as the radius of the sphere goes to infinity.
