43 citations · 201 across the 25 of their papers we have counts for
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math.QA2008★ 43 cited
Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi
A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explic…
math.QA2000★ 28 cited
The perturbation of the quantum Calogero-Moser-Sutherland system and related results
Yasushi Komori, Kouichi Takemura
The Hamiltonian of the trigonometric Calogero-Sutherland model coincides with some limit of the Hamiltonian of the elliptic Calogero-Moser model. In other words the elliptic Hamilt…
math.QA1999★ 2 cited
Theta Functions Associated with the Affine Root Systems and the Elliptic Ruijsenaars Operators
Yasushi Komori
We study a family of mutually commutative difference operators associated with the affine root systems. These operators act on the space of meromorphic functions on the Cartan suba…