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DOI: 10.23671/VNC.2014.4.10253

Asymptotic behavior of generalized eigenvalues of the schrodinger operator

Badakhov M. Sh. , Veremeenko O. Y. , Shabat A. B.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 4.
The Schrodinger operator on the real line with compactly supported potential is considered. An asymptotic analysis of complex poles of the transmission coefficient \(1/a(k)\) for some \(\delta\)-type potentials is fulfilled. We are planning to use these poles producing effective methods of approximate solutions of the inverse scattering problem in the one-dimensional case.
Keywords: inverse scattering problem, zeros of entire functions
Language: Russian Download the full text  
For citation: Badakhov M. Sh., Veremeenko O. Y., Shabat A. B. Asymptotic behavior of generalized eigenvalues of the schrodinger operator // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 4, pp. 9-15. DOI 10.23671/VNC.2014.4.10253
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