INVERSE SPECTRAL PROBLEMS FOR DIFFERENCE-OPERATORS WITH RATIONAL SCATTERING MATRIX FUNCTION

被引：22

作者：

ALPAY, D

GOHBERG, I

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-69978 TEL AVIV,ISRAEL

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1994年 / 20卷 / 02期

关键词：

AMS Subject Classification Numbers: 47A40; 33C45; 81U40;

D O I：

10.1007/BF01679669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain explicit formulas for the coefficients of a second order difference block operator if its spectral or its scattering functions are rational matrix functions analytic and invertible on the unit circle. The solutions are given in terms of realizations of the spectral or scattering function.

引用

页码：125 / 170

页数：46

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