Spectral problems of a class of non-self-adjoint one-dimensional Schrodinger operators |
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Authors: | OA Veliev |
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Institution: | Depart. of Math., Dogus University, Ac?badem, Kadiköy, Istanbul, Turkey |
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Abstract: | In this paper we investigate the one-dimensional Schrodinger operator L(q) with complex-valued periodic potential q when q∈L10,1] and qn=0 for n=0,−1,−2,..., where qn are the Fourier coefficients of q with respect to the system {ei2πnx}. We prove that the Bloch eigenvalues are (2πn+t)2 for n∈Z, t∈C and find explicit formulas for the Bloch functions. Then we consider the inverse problem for this operator. |
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Keywords: | Hill operator Spectrum Inverse problems |
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