dc.contributor.author | Pritsker, Igor E | |
dc.date.accessioned | 2024-01-17T19:56:02Z | |
dc.date.available | 2024-01-17T19:56:02Z | |
dc.date.issued | 2013-07-20 | |
dc.identifier | oksd_pritsker_approximation_of_conformal_mapping_2013 | |
dc.identifier.citation | Pritsker, I.E. (2013). Approximation of conformal mapping via the Szegő kernel method. https://doi.org/10.48550/arxiv.1307.5363 | |
dc.identifier.uri | https://hdl.handle.net/11244/340127 | |
dc.description.abstract | We study the uniform approximation of the canonical conformal mapping, for a Jordan domain onto the unit disk, by polynomials generated from the partial sums of the Szegő kernel expansion. These polynomials converge to the conformal mapping uniformly on the closure of any Smirnov domain. We prove estimates for the rate of such convergence on domains with piecewise analytic boundaries, expressed through the smallest exterior angle at the boundary. Furthermore, we show that the rate of approximation on compact subsets inside the domain is essentially the square of that on the closure. Two standard applications to the rate of decay for the contour orthogonal polynomials inside the domain, and to the rate of locally uniform convergence of Fourier series are also given. | |
dc.format | application/pdf | |
dc.language | en_US | |
dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
dc.title | Approximation of conformal mapping via the Szegő kernel method | |
dc.date.updated | 2024-01-16T23:28:40Z | |
osu.filename | oksd_pritsker_approximation_of_conformal_mapping_2013.pdf | |
dc.identifier.doi | 10.48550/arxiv.1307.5363 | |
dc.description.department | Mathematics | |
dc.type.genre | Preprint | |
dc.type.material | Text | |
dc.subject.keywords | applied mathematics | |
dc.subject.keywords | mathematical sciences | |
dc.identifier.author | ORCID: 0000-0002-3102-5003 (Pritsker, Igor E) | |
dc.identifier.author | ScopusID: 6602900239 (Pritsker, Igor E) | |