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Zapiski Nauchnykh Seminarov LOMI, 1988, Volume 173, Pages 96–103 (Mi znsl4499)  
Asymptotics of the Jost-function for the two-dimensional Schrödinger operator

A. P. Katchalov, Ya. V. Kurylev
Full-text PDF (311 kB)
Abstract: The article concerns asymptotics of the Jost function $\chi(z,\lambda)$ for the two-dimensional Schrödinger operator for the arbitrary $\lambda\in\mathbb{C}$ and $z/|z|\in S^1$ when $|z|\to\infty$ and a relation with the inverse scattering problem.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 3, Pages 1712–1717
DOI: https://doi.org/10.1007/BF01098209
Bibliographic databases:
Document Type: Article
UDC: 534
Language: Russian
Citation: A. P. Katchalov, Ya. V. Kurylev, “Asymptotics of the Jost-function for the two-dimensional Schrödinger operator”, Mathematical problems in the theory of wave propagation. Part 18, Zap. Nauchn. Sem. LOMI, 173, "Nauka", Leningrad. Otdel., Leningrad, 1988, 96–103; J. Soviet Math., 55:3 (1991), 1712–1717
Citation in format AMSBIB
\Bibitem{KacKur88}
\by A.~P.~Katchalov, Ya.~V.~Kurylev
\paper Asymptotics of the Jost-function for the two-dimensional Schr\"odinger operator
\inbook Mathematical problems in the theory of wave propagation. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 173
\pages 96--103
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0983357}
\zmath{https://zbmath.org/?q=an:0725.35073|0694.35129}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 3
\pages 1712--1717
\crossref{https://doi.org/10.1007/BF01098209}
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