The riemann boundary value problem on non-rectifiable arcs and the cauchy transform

dc.contributor.author	Kats B.
dc.date.accessioned	2018-09-18T20:07:24Z
dc.date.available	2018-09-18T20:07:24Z
dc.date.issued	2012
dc.identifier.issn	0255-0156
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136725
dc.description.abstract	© 2012 Springer Basel. In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rectifiable arcs on the complex plane. We construct this integral as the convolution of the distribution (2πiz)− 1 with a certain distribution such that its support is a non-rectifiable arc. These convolutions are called Cauchy transforms. A s an application, solvability conditions of the Riemann boundary value problem are derived under very weak conditions on the boundary.
dc.relation.ispartofseries	Operator Theory: Advances and Applications
dc.subject	Cauchy transform
dc.subject	Metric dimension
dc.subject	Non-rectifiable arc
dc.subject	Riemann boundary value problem
dc.title	The riemann boundary value problem on non-rectifiable arcs and the cauchy transform
dc.type	Conference Paper
dc.relation.ispartofseries-volume	221
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	433
dc.source.id	SCOPUS02550156-2012-221-SID84890294648

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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.