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arXiv · 1812.11795

Functional calculus and harmonic analysis in geometry

Lashi Bandara
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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.

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Lashi Bandara. 2018-12-31. Functional calculus and harmonic analysis in geometry. https://doi.org/10.1007/s40863-019-00149-0

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