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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