TY  - JOUR
A1  - Bandara, Lashi
T1  - Functional calculus and harmonic analysis in geometry
JF  - São Paulo journal of mathematical sciences / Instituto de Matemática e Estatística da Universidade de São Paulo
N2  - 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.
KW  - Functional calculus
KW  - Real-variable harmonic analysis
KW  - Elliptic boundary
KW  - value problems
KW  - Kato square root problem
KW  - Spectral flow
KW  - Riesz topology
KW  - Gigli-Mantegazza flow
KW  - Bisectorial operator
Y1  - 2021
U6  - https://doi.org/10.1007/s40863-019-00149-0
SN  - 1982-6907
SN  - 2316-9028
VL  - 15
IS  - 1
SP  - 20
EP  - 53
PB  - Springer
CY  - Cham
ER  -