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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 392
Inverse problem for periodic weighted operators Evgeni Korotyaev
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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