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 |
|