The Sobolev-type moment problem

被引：6
|
作者：
Marcellán, F
Szafraniec, FH
机构：
[1] Univ Carlos III Madrid, Dept Matemat, E-28911 Leganes, Spain
[2] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 08期
关键词：
D O I：
10.1090/S0002-9939-00-05535-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose necessary and sufficient conditions for a bisequence of complex numbers to be a moment one of Sobolev type over the real line, the unit circle and the complex plane. We achieve this through converting the moment problem in question into a matrix one and utilizing some techniques coming from operator theory. This allows us to consider the Sobolev type moment problem in its full generality, not necessarily in the diagonal case and even of infinite order.
引用
收藏
页码：2309 / 2317
页数：9
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