Completion problems and scattering problems for Dirac type differential equations with singularities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:317

Article

Fritzsche, B ; Kirstein, B ; Sakhnovich, A

关键词: completion problem;    Dirac type system;    scattering problem;    reflection coefficient;    realization;    Arov-singular matrix function;    positon type potential;   

DOI  :  10.1016/j.jmaa.2005.05.044

来源: Elsevier

【 摘 要 】

A completion problem to recover a rational matrix function which is j -unitary on the line is treated. A Dirac type system with singularities on the semi-axis is recovered explicitly from its left reflection coefficient. The close relation between these two problems is discussed. (C) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free