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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1145–1152
DOI: https://doi.org/10.33048/smzh.2019.60.511 (Mi smj3138) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Fredholm eigenvalues of unbounded polygons

S. L. Kruskalab

a Bar-Ilan University, Ramat-Gan, Israel
b University of Virginia, Charlottesville, USA
Full-text PDF (417 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2019.60.511
Abstract: An important open problem in geometric complex analysis is to establish some algorithms for explicit determination of the basic functionals intrinsically connected with conformal and quasiconformal mappings such as their Teichmüller and Grunsky norms, Fredholm eigenvalues and the quasireflection coefficient. This problem has not been solved even for generic quadrilaterals. We provide a restricted solution of the problem for unbounded rectilinear polygons.
Keywords: Fredholm eigenvalue, polygon, univalent function, quasiconformal reflection, Grunsky inequality, universal Teichmüller space.
Received: 11.02.2019
Revised: 11.02.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 896–901
DOI: https://doi.org/10.1134/S0037446619050112
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. L. Kruskal, “On Fredholm eigenvalues of unbounded polygons”, Sibirsk. Mat. Zh., 60:5 (2019), 1145–1152; Siberian Math. J., 60:5 (2019), 896–901
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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