Functional calculus and harmonic analysis in geometry
Differential Geometry
2019-09-18 v4 Analysis of PDEs
Functional Analysis
Abstract
In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable harmonic analysis. We give a brief description of these methods as well as their interplay. This is a succinct survey that hopes to inspire geometers and analysts alike to study these methods so that they can be further developed to be potentially applied to a broader range of questions.
Cite
@article{arxiv.1812.11795,
title = {Functional calculus and harmonic analysis in geometry},
author = {Lashi Bandara},
journal= {arXiv preprint arXiv:1812.11795},
year = {2019}
}
Comments
Fixed some typos, added some extra text, added references