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The coordinate system μ × κ on L 2([0, 1]) × L 2([0, 1]) for the AKNS operator

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Abstract

A proof of the following result is given. The map μ × κ for the AKNS operator on the unit interval associated to the separated boundary conditions is one to one on L 2([0, 1]) × L 2([0, 1]). The Schrödinger operators are considered in an appendix.

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Authors and Affiliations

  1. Laboratoire de Mathématiques de Reims, FR CNRS 3399 and EA 4535, Université de Reims Champagne-Ardenne, Moulin de la Housse, BP 1039, 51687, REIMS Cedex 2, France

    Laurent Amour

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  1. Laurent Amour
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Correspondence to Laurent Amour.

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Amour, L. The coordinate system μ × κ on L 2([0, 1]) × L 2([0, 1]) for the AKNS operator. Math Phys Anal Geom 17, 83–93 (2014). https://doi.org/10.1007/s11040-014-9142-9

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  • DOI: https://doi.org/10.1007/s11040-014-9142-9

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