Inverse scattering problem for a special class of canonical systems and non-linear Fourier integral. Part I: asymptotics of eigenfunctions
Language
en
Article de revue
This item was published in
Operator Theory: Advances and Applications. 2009, vol. 186, p. 285-324
Springer
English Abstract
An original approach to the inverse scattering for Jacobi matrices was recently suggested in Volberg-Yuditskii [2002]. The authors considered quite sophisticated spectral sets (including Cantor sets of positive Lebesgue ...Read more >
An original approach to the inverse scattering for Jacobi matrices was recently suggested in Volberg-Yuditskii [2002]. 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 (Schrodinger) operator.Read less <
Italian Keywords
Schrodinger operator
canonical differential system
inverse scattering
functional model
Origin
Hal imported