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Reflectionless analytic difference operators I. algebraic framework

Simon N. M. Ruijsenaars
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Abstract

We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Transform for the reflectionless self-adjoint Schrödinger and Jacobi operators corresponding to KdV and Toda lattice solitons.

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Simon N. M. Ruijsenaars. 2001-01-01. Reflectionless analytic difference operators I. algebraic framework. https://doi.org/10.2991/jnmp.2001.8.1.10

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