Nevanlinna formula for the truncated matrix trigonometric moment problem

被引：2
|
作者：
Zagorodnyuk, S. M. [1 ]
机构：
[1] Kharkov Natl Univ, Kharkov, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2013年 / 64卷 / 08期
关键词：
Hilbert Space; Linear Span; Moment Problem; Linear Contraction; Defect Number;
D O I：
10.1007/s11253-013-0710-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper continues the investigation of the truncated matrix trigonometric moment problem originated by the author in Ukr. Mat. Zh., 63, No. 6, 786-797 (2011). The Nevanlinna formula for the indicated moment problem is deduced in the general case. It is assumed that there is more than one moment and that the moment problem is solvable and has more than one solution. The coefficients of the corresponding matrix linear fractional transformation are expressed in the explicit form via the given moments. Simple determinacy conditions are presented for the moment problem.
引用
收藏
页码：1199 / 1214
页数：16
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