Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2005 English Publisher:Birkhäuser Basel

Authors: Damir Z. Arov; Harry Dym;

doi: 10.1007/3-7643-7398-9_6

Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems

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Abstract

This paper provides an introduction to the role of strongly regular J-inner matrix-valued functions in the analysis of inverse problems for canonical integral and differential systems. A number of the main results that were developed in a series of papers by the authors are surveyed and examples and applications are presented, including an application to the matrix Schrodinger equation. The approach of M.G. Krein to inverse problems is discussed briefly.

Related Organizations

Pedagogical University
Mozambique
Weizmann Institute of Science
Israel

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