Reflectionless analytic difference operators I. algebraic framework
Simon N. M. Ruijsenaars
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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