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Discrete Systems and their Characteristic Spectral Functions
被引：0
作者：
Daniel Alpay
Israel Gohberg
机构：
[1] Ben-Gurion University of the Negev,Department of Mathematics
[2] Tel-Aviv University,School of Mathematical Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences
来源：
Mediterranean Journal of Mathematics
|
2007年
/
4卷
关键词：
Primary: 34A55, 49N45, 70G30;
Secondary: 93B15, 47B35;
Discrete systems;
scattering matrix;
state space method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define first-order discrete systems in the matrix-valued case. They are characterized by sequences of pair of matrices, called admissible sequences. We present two important examples of such sequences, called Szegö and Nehari sequences. We introduce the characteristic spectral functions associated to a first-order system. We define in particular the scattering function, the Weyl function and the reflection coefficient function and we study the relationships between these functions.
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页码：1 / 32
页数：31
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