JournalszaaVol. 27, No. 3pp. 339–352

Kernel Dimension of Singular Integral Operators with Piecewise Continuous Coefficients on the Unit Circle

  • A. Rogozhin

    Technische Universität Chemnitz, Germany
  • Bernd Silbermann

    Technische Universität Chemnitz, Germany
Kernel Dimension of Singular Integral Operators with Piecewise Continuous Coefficients on the Unit Circle cover
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Abstract

In this paper we propose a method to compute the kernel dimension of a Fredholm singular integral operator aP+bQaP+bQ with piecewise continuous coefficients a,b.a, b. We show that the kernel dimension can be extracted from the singular value behavior of a polynomial collocation method. The results are illustrated by numerical experiments.

Cite this article

A. Rogozhin, Bernd Silbermann, Kernel Dimension of Singular Integral Operators with Piecewise Continuous Coefficients on the Unit Circle. Z. Anal. Anwend. 27 (2008), no. 3, pp. 339–352

DOI 10.4171/ZAA/1359