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arxiv: 1211.0292 · v1 · pith:D6QG3EI2new · submitted 2012-11-01 · 🧮 math-ph · math.AP· math.FA· math.MP· math.SP

Faddeev eigenfunctions for multipoint potentials

P.G. Grinevich (1) , R.G. Novikov (2) ((1) L.D. Landau Institute of Theoretical Physics , Moscow State University , Moscow Physical-Technical Institute , Russia (2) CNRS , UMR 7641 , Centre de Mathematiques Appliquees , Ecole polytechnique
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keywords potentialsfaddeevformulaseigenfunctionsmultipointpointsinglewere
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We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentials in 3D such formulas were obtained in an old unpublished work of L.D. Faddeev. For single point potentials in 2D such formulas were given recently by the authors in arXiv:1110.3157 .

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