@inproceedings{f94ba676beb4499c860304cb207ad393,
title = "Inverse scattering problem for a special class of canonical systems and non-linear fourier integral. part I: Asymptotics of eigenfunctions",
abstract = "An original approach to the inverse scattering for Jacobi matrices was recently suggested in [20]. The authors considered quite sophisticated spectral sets (including Cantor sets of positive Lebesgue measure), however they did not take into account the mass point spectrum. This paper follows similar lines for the continuous setting with an absolutely continuous spectrum on the half-axis and a pure point spectrum on the negative half-axis satisfying the Blaschke condition. This leads us to the solution of the inverse scattering problem for a class of canonical systems that generalizes the case of Sturm-Liouville (Schr{\"o}dinger) operator.",
keywords = "Asymptotical behavior of the solutions, Canonical system, Inverse scattering problem, Model space, Reproducing kernels, Schr{\"o}dinger operator",
author = "S. Kupin and F. Peherstorfer and A. Volberg and P. Yuditskii",
note = "Publisher Copyright: {\textcopyright} 2008 Birkh{\"a}user Verlag Basel/Switzerland.; Conference on Operator Theory, Analysis and Mathematical Physics, OTAMP 2006 ; Conference date: 01-01-2006",
year = "2009",
language = "אנגלית",
isbn = "9783764387549",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "285--323",
editor = "Sergei Naboko and Ari Laptev and Jan Janas and Ari Laptev and Gunter Stolz and Pavel Kurasov",
booktitle = "Methods of Spectral Analysis in Mathematical Physics - Conference on Operator Theory, Analysis and Mathematical Physics, OTAMP 2006",
}