Volume 8, Issue 1, February 2001, Pages 106 - 138
Reflectionless Analytic Difference Operators I. Algebraic Framework
Received 17 April 2000, Accepted 30 June 2000, Available Online 1 February 2001.
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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 corrsponding to KdV and Toda lattice solitons.
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Cite this article
TY - JOUR AU - S.N.M. Ruijsenaars PY - 2001 DA - 2001/02/01 TI - Reflectionless Analytic Difference Operators I. Algebraic Framework JO - Journal of Nonlinear Mathematical Physics SP - 106 EP - 138 VL - 8 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.1.10 DO - 10.2991/jnmp.2001.8.1.10 ID - Ruijsenaars2001 ER -