Functional calculus and harmonic analysis in geometry

Autoren: Lashi Bandara (2019)

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.

São Paulo Journal of Mathematical Sciences, Special Section: An Homage to Manfredo P. do Carmo

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