This article is cited in 13 papers

An inverse problem for a class of one-dimensional Shrodinger operators with a complex periodic potential

L. A. Pastur, V. A. Tkachenko


Abstract: A nonselfadjoint Sturm-Liouville operator $L=-d^2/dx^2+q(x)$ $(-\infty<x<\infty)$ with a periodic potential which can be extended holomorphically to the upper half plane, is considered.

UDC: 539.2

MSC: 34A30, 34A55, 47E05

Received: 07.04.1989

 English version: Mathematics of the USSR-Izvestiya, 1991, 37:3, 611–629

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