Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background

Автор(и)

  • I. Egorova B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
  • J. Michor Imperial College, 180 Queen's Gate, London SW7 2BZ, UK
    International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
  • G. Teschl Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria
    International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria

Ключові слова:

inverse scattering, Jacobi operators, quasiperiodic, step-like

Анотація

We develop direct and inverse scattering theory for Jacobi operators with step-like coefficients which are asymptotically close to different finite-gap quasiperiodic coefficients on different sides. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite first moment.

Mathematics Subject Classification: 47B36, 81U40, 34L25, 39A11.

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Як цитувати

(1)
Egorova, I.; Michor, J.; Teschl, G. Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background. Журн. мат. фіз. анал. геом. 2008, 4, 33-62.

Номер

Том 4 № 1 (2008)

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