Integration over non-rectifiable curves and Riemann boundary value problems

dc.contributor.author	Abreu-Blaya R.
dc.contributor.author	Bory-Reyes J.
dc.contributor.author	Kats B.
dc.date.accessioned	2018-09-18T20:05:13Z
dc.date.available	2018-09-18T20:05:13Z
dc.date.issued	2011
dc.identifier.issn	0022-247X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136373
dc.description.abstract	In this paper we introduce an alternative way of defining the curvilinear Cauchy integral over non-rectifiable curves in the case of complex functions of one complex variable. Especially the jump behavior on the boundary is considered. As an application, solvability conditions of the Riemann boundary value problem are derived on very weak conditions to the boundary. Besides the complex case the consideration can be extended to the theory of Douglis algebra valued functions. © 2011 Elsevier Inc.
dc.relation.ispartofseries	Journal of Mathematical Analysis and Applications
dc.subject	Cauchy integral
dc.subject	Douglis algebra
dc.subject	Fractional dimension
dc.subject	Non-rectifiable curve
dc.subject	Riemann boundary value problem
dc.title	Integration over non-rectifiable curves and Riemann boundary value problems
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	380
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	177
dc.source.id	SCOPUS0022247X-2011-380-1-SID79953693862

Файлы в этом документе

Имя: SCOPUS0022247X-20 ...

Размер: 83.59Kb

Формат: PDF

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