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Functional calculus and harmonic analysis in geometry
- 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.
| Author details: | Lashi BandaraORCiD |
|---|---|
| DOI: | https://doi.org/10.1007/s40863-019-00149-0 |
| ISSN: | 1982-6907 |
| ISSN: | 2316-9028 |
| Title of parent work (English): | São Paulo journal of mathematical sciences / Instituto de Matemática e Estatística da Universidade de São Paulo |
| Publisher: | Springer |
| Place of publishing: | Cham |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2021/09/16 |
| Publication year: | 2021 |
| Release date: | 2022/11/28 |
| Tag: | Bisectorial operator; Elliptic boundary; Functional calculus; Gigli-Mantegazza flow; Kato square root problem; Real-variable harmonic analysis; Riesz topology; Spectral flow; value problems |
| Volume: | 15 |
| Issue: | 1 |
| Number of pages: | 34 |
| First page: | 20 |
| Last Page: | 53 |
| Funding institution: | German Research Foundation (DFG)German Research Foundation (DFG) [SPP2026] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
