- 99-227 Evgeni Korotyaev
- Inverse Problem for Periodic Weighted Operators
(224K, gzipped postscript)
Jun 16, 99
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Abstract. We consider the inverse problem for the periodic weighted operator
on the real line. Using the Lyapunov function and information on the
Dirichlet eigenvalues we construct the vertical slit mapping (the analogue
of the Marchenko-Ostrovski mapping) which provides a parametrization of
the weight by a real analytic isomorpism of Hilbert spaces
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