A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems |
| |
Authors: | Yu. M. Dyukarev |
| |
Affiliation: | 1. Kharkov National University, Kharkov, Russia
|
| |
Abstract: | The main result of this paper is a generalized Stieltjes criterion for the complete indeterminacy of interpolation problems in the Stieltjes class. This criterion is a generalization to limit interpolation problems of the classical Stieltjes criterion for the indeterminacy of moment problems. It is stated in terms of the Stieltjes parameters M j and N j . We obtain explicit formulas for the Stieltjes parameters. General constructions are illustrated by examples of the Stieltjes moment problem and the Nevanlinna-Pick problem in the Stieltjes class. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |