The szegö function on a non-rectifiable arc

dc.contributor.author	Kats B.
dc.contributor.author	Kats D.
dc.date.accessioned	2018-09-18T20:17:02Z
dc.date.available	2018-09-18T20:17:02Z
dc.date.issued	2012
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138279
dc.description.abstract	Let γ be a simple Jordan arc in the complex plane. The Szegö function, by definition, is a holomorphic in C\γ function with a prescribed product of its boundary values on γ. The problem of finding the Segö function in the case of piecewise smooth γ was solved earlier. In this paper we study this problem for non-rectifiable arcs. The solution relies on properties of the Cauchy transform of certain distributions with the support on γ. © Allerton Press, Inc., 2012.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Cauchy transform
dc.subject	Distribution
dc.subject	Non-rectifiable arc
dc.subject	Riemann boundary-value problem
dc.subject	Szegö function
dc.title	The szegö function on a non-rectifiable arc
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	56
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	9
dc.source.id	SCOPUS1066369X-2012-56-4-SID84862737639

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.