Generalized mean value property in the limit for eigenfunctions of the Laplacian on
Tom 169 / 2022
Colloquium Mathematicum 169 (2022), 255-267
MSC: Primary 35J05; Secondary 42B37.
DOI: 10.4064/cm8554-6-2021
Opublikowany online: 4 March 2022
Streszczenie
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.