J-inner matrix functions, interpolation and inverse problems for canonical systems, IV: Direct and inverse bitangential input scattering problems

被引:11
作者
Arov, DZ [1 ]
Dym, H
机构
[1] S Ukranian Pedag Univ, Dept Math, UA-270020 Odessa, Ukraine
[2] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel
关键词
D O I
10.1007/BF01196513
中图分类号
O1 [数学];
学科分类号
0701 [数学]; 070101 [基础数学];
摘要
Bitangential input scattering problems are formulated and analyzed for canonical integral systems. Special attention is paid to the case when the input scattering matrix is a p x q matrix valued function of Wiener class. Formulas for the solution of the inverse input scattering problem are obtained by reproducing kernel Hilbert space methods. A number of illustrative examples are presented. Additional examples for the case when the input scattering matrix is of Wiener class/rational will be presented in a future publication.
引用
收藏
页码:1 / 67
页数:67
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