Document Type
Article
Publication Date
2009
Abstract
In the present paper we extend results of M.G. Krein associated to the spectral problem for Krein systems to systems with matrix valued accelerants with a possible jump discontinuity at the origin. Explicit formulas for the accelerant are given in terms of the matrizant of the system in question. Recent developments in the theory of continuous analogs of the resultant operator play an essential role.
Recommended Citation
D. Alpay, I. Gohberg, M.A. Kaashoek, L. Lerer and A. Sakhnovich. Krein systems. Operator Theory: Advances and Applications, Vol. 191 (2009), 19-36.
Peer Reviewed
1
Copyright
Springer
Included in
Algebra Commons, Discrete Mathematics and Combinatorics Commons, Other Mathematics Commons
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Operator Theory: Advances and Applications, volume 191, in 2009 following peer review. The final publication is available at Springer via DOI: 10.1007/978-3-7643-9921-4_3