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Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials. (English) Zbl 0345.35032

MSC:
35J10 Schrödinger operator, Schrödinger equation
35B40 Asymptotic behavior of solutions to PDEs
47A40 Scattering theory of linear operators
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
47A55 Perturbation theory of linear operators
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References:
[1] Ikebe, T., Spectral representation for Schrodinger operators with long-range potentials. J. Functional Anal. 20 (1975), 158-177. · Zbl 0315.35067
[2] Ikebe, T. and Saito, Y., Limiting absorption method and absolute continuity for the Schrodinger operator. /. Math. Kyoto Univ. 12 (1972), 513-542. · Zbl 0257.35022
[3] Kato, T. and Kuroda, S. T., The abstract theory of scattering. Rocky Moun- tain J, Math. 1 (1971), 127-171. · Zbl 0241.47005
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