Fourier Uncertainty Principles on Riemannian Manifolds
Classical Analysis and ODEs
2024-11-15 v1 Spectral Theory
Abstract
The purpose of this paper is to develop a Fourier uncertainty principle on compact Riemannian manifolds and contrast the underlying ideas with those arising in the setting of locally compact abelian groups. The key obstacle is the growth of eigenfunctions, and connections to Bourgain's celebrated theorem are discussed in this context.
Keywords
Cite
@article{arxiv.2411.09057,
title = {Fourier Uncertainty Principles on Riemannian Manifolds},
author = {Alex Iosevich and Azita Mayeli and Emmett Wyman},
journal= {arXiv preprint arXiv:2411.09057},
year = {2024}
}