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Topics in the Theory of Schrödinger Operators

Topics in the Theory of Schrödinger Operators

Many self-adjoint operators appearing in mathematical physics and geometry have their spectral data : eigenvalues, informations of eigenvectors, scattering matrices.A natural attempt is the reconstruction of the original operator in terms of its spectral data.The precursor of this inverse spectral problem goes back at least to the Sturm-Liouville theory of …