13 citations · 38 across the 5 of their papers we have counts for
5 papers
Difference operators of Sklyanin and van Diejen type
Eric Rains, Simon Ruijsenaars
The Sklyanin algebra has a well-known family of infinite-dimensional representations , , in terms of difference operators with shift acting on even meromo…
A note on the Gauss decomposition of the elliptic Cauchy matrix
L. Feher, C. Klimcik, S. Ruijsenaars
Explicit formulas for the Gauss decomposition of elliptic Cauchy type matrices are derived in a very simple way. The elliptic Cauchy identity is an immediate corollary.
Tzitzeica solitons vs. relativistic Calogero-Moser 3-body clusters
J. J. C. Nimmo, S. N. M. Ruijsenaars
We establish a connection between the hyperbolic relativistic Calogero-Moser systems and a class of soliton solutions to the Tzitzeica equation (aka the Dodd-Bullough-Zhiber-Shabat…
Reflectionless analytic difference operators III. Hilbert space aspects
S. N. M. Ruijsenaars
In the previous two parts of this series of papers, we introduced and studied a large class of analytic difference operators admitting reflectionless eigenfunctions, focusing on al…
Reflectionless analytic difference operators I. algebraic framework
Simon N. M. Ruijsenaars
We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Tra…