Open AccessOn the scattering problem in Ryckman's class of Jacobi matrices
Author(s) -
Leonid Golinskiĭ,
Alexander Kheifets,
Peter Yuditskii
Publication year - 2011
Publication title -
journal of spectral theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.063
H-Index - 19
eISSN - 1664-0403
pISSN - 1664-039X
DOI - 10.4171/jst/5
Subject(s) - scattering , class (philosophy) , inverse scattering problem , mathematics , jacobi eigenvalue algorithm , jacobi method , inverse problem , scattering theory , pure mathematics , mathematical analysis , physics , computer science , optics , artificial intelligence
We give a complete solution of the scattering problem for Jacobi matricesfrom a class which was recently introduced by E. Ryckman. We characterize thescattering data for this class and illustrate the inverse scattering on somesimple examples.
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