Discrete systems and their characteristic spectral functions

被引：2

作者：

Alpay, Daniel ^{[1
]}

Gohberg, Israel

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69989 Ramat Aviv, Israel

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2007年 / 4卷 / 01期

关键词：

discrete systems; scattering matrix; state space method;

D O I：

10.1007/s00009-007-0099-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Szego 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.

引用

页码：1 / 32

页数：32

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