Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 1, Pages 33–62 (Mi jmag84)  
This article is cited in 6 scientific papers (total in 6 papers)

Scattering theory for Jacobi operators with general step-like quasiperiodic background

I. Egorovaa, J. Michorbc, G. Teschlcd

a Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
b Imperial College, 180 Queen's Gate, London SW7 2BZ, UK
c International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
d Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria
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Abstract: We develop direct and inverse scattering theory for Jacobi operators with step-like coeffscients 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.
Key words and phrases: inverse scattering, Jacobi operators, quasiperiodic, step-like.
Received: 17.09.2007
Bibliographic databases:
Document Type: Article
MSC: Primary 47B36, 81U40; Secondary 34L25, 39A11
Language: English
Citation: I. Egorova, J. Michor, G. Teschl, “Scattering theory for Jacobi operators with general step-like quasiperiodic background”, Zh. Mat. Fiz. Anal. Geom., 4:1 (2008), 33–62
Citation in format AMSBIB
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\by I.~Egorova, J.~Michor, G.~Teschl
\paper Scattering theory for Jacobi operators with general step-like quasiperiodic background
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 1
\pages 33--62
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2404173}
\zmath{https://zbmath.org/?q=an:1177.47038}
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    • This publication is cited in the following 6 articles:
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