Golusin-Krylov formulas in complex analysis
- This is a brief survey of a constructive technique of analytic continuation related to an explicit integral formula of Golusin and Krylov (1933). It goes far beyond complex analysis and applies to the Cauchy problem for elliptic partial differential equations as well. As started in the classical papers, the technique is elaborated in generalised Hardy spaces also called Hardy-Smirnov spaces.
| Author details: | Alexander ShlapunovORCiDGND, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1080/17476933.2017.1395872 |
| ISSN: | 1747-6933 |
| ISSN: | 1747-6941 |
| Title of parent work (English): | Complex variables and elliptic equations |
| Publisher: | Routledge |
| Place of publishing: | Abingdon |
| Publication type: | Review |
| Language: | English |
| Date of first publication: | 2017/11/07 |
| Publication year: | 2017 |
| Release date: | 2022/03/24 |
| Tag: | Analytic continuation; Cauchy problem; inegral formulas |
| Volume: | 63 |
| Issue: | 7-8 |
| Number of pages: | 26 |
| First page: | 1142 |
| Last Page: | 1167 |
| Funding institution: | Russian Federation Government for scientific research under the supervision of leading scientists at the Siberian Federal University [14.Y26.31.0006] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
