Eigenfunction maxima and spherical means
Classical Analysis and ODEs
2022-05-31 v1 Spectral Theory
Abstract
The eigenfunctions of the Laplacian are a central object from the realms of analytic number theory to geometric analysis. We prove that H\"ormander - estimates are equivalent to restriction estimates to small geodesic spheres for a certain class of manifolds.
Cite
@article{arxiv.2205.14489,
title = {Eigenfunction maxima and spherical means},
author = {Ángel D. Martínez},
journal= {arXiv preprint arXiv:2205.14489},
year = {2022}
}
Comments
This was published as part of the author's PhD thesis