, Volume 34, Issue 2, pp 119-128

Spectral theory of a class of canonical differential systems

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Abstract

The general spectral theory of canonical systems is used to study a generalized Krein system. Direct and inverse problems for this system are considered. In particular, some proofs are supplied for Krein's results published by him without proof.

Academy of Radio and Communication, Department of Mathematics, Odessa, Ukraine. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 34, No. 2, pp. 50–62, April–June, 2000.
Translated by L. A. Sakhnovich