Polynomial collocation over massive sets for Toeplitz integral equations on the Bergman space

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:66

Article; Proceedings Paper

Bottcher, A ; Wolf, H

关键词: Toeplitz integral equation;    Bergman space;    polynomial collocation;   

DOI  :  10.1016/0377-0427(95)00172-7

来源: Elsevier

【 摘 要 】

The subject of this paper is polynomial collocation for approximately solving Toeplitz integral equations on the Bergman space of the complex unit disk. It turns out that the convergence of such methods depends on the choice of the system of collocation points. We establish a result for the case where the collocation points are evenly distributed on massive subsets of the unit disk.

【 授权许可】

Free