Poisson Transforms for Trees of Bounded Degree
Spectral Theory
2022-08-15 v2 Mathematical Physics
math.MP
Abstract
We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplace eigenfunctions by H\"older regularity of their boundary values.
Cite
@article{arxiv.2104.09353,
title = {Poisson Transforms for Trees of Bounded Degree},
author = {Kai-Uwe Bux and Joachim Hilgert and Tobias Weich},
journal= {arXiv preprint arXiv:2104.09353},
year = {2022}
}
Comments
minor corrections of typos, to appear in the Journal of Spectral Theory