Abstract
We construct the spaces that the elliptic Ruijsenaars operators act on. It is shown that they are extensible to nonnegative selfadjoint operators on a space of square integrable functions, or preserve a finite dimensional vector space of entire functions. These facts are shown in terms of the R-operators which satisfy the Yang–lBaxter equation. The elliptic Ruijsenaars operators are considered as the elliptic analogues of the Macdonald operators or the difference analogues of the Lamé operators.
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Komori, Y. Notes on the Elliptic Ruijsenaars Operators. Letters in Mathematical Physics 46, 147–155 (1998). https://doi.org/10.1023/A:1007577231399
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DOI: https://doi.org/10.1023/A:1007577231399