# Functional calculus and harmonic analysis in geometry

## TL;DR

This survey highlights recent advances in solving geometric problems by integrating functional calculus and harmonic analysis, aiming to inspire further research in these interconnected mathematical fields.

## Contribution

It provides an overview of how functional calculus and harmonic analysis are combined to address complex geometric problems, encouraging cross-disciplinary development.

## Key findings

- Resolution of specific geometric problems using harmonic analysis techniques
- Demonstration of the interplay between functional calculus and geometry
- Potential for broader applications in geometric 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.