Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve

We prove generalized Noether theorems for a singular integral equation with Cauchy kernel on a closed rectifiable Jordan curve in classes of piecewise-continuous functions with oscillation-type discontinuities. We obtain results concerning the normal solvability of operators associated with the equa...

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Bibliographic Details
Date:2003
Main Authors: Plaksa, S. A., Плакса, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3993
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal