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An inverse spectral problem for a nonsymmetric differential operator: Reconstruction of eigenvalue problem
Authors:Wuqing Ning
Institution:Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo 153-8914, Japan
Abstract:In this paper, an algorithm is established to reconstruct an eigenvalue problem from the given data satisfying certain conditions. These conditions are proved to be not only necessary but also sufficient for the given data to coincide with the spectral characteristics corresponding to the reconstructed eigenvalue problem.
Keywords:Nonsymmetric differential operator  Inverse spectral problem  Reconstruction of eigenvalue problem
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