28 citations · 117 across the 14 of their papers we have counts for
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math-ph2012★ 5 cited
Baker-Akhiezer functions and generalised Macdonald-Mehta integrals
M. V. Feigin, M. A. Hallnas, A. P. Veselov
For the rational Baker-Akhiezer functions associated with special arrangements of hyperplanes with multiplicities we establish an integral identity, which may be viewed as a genera…
nlin.SI2012
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. I. First steps
Martin Hallnäs, Simon Ruijsenaars
We present and develop a recursion scheme to construct joint eigenfunctions for the commuting analytic difference operators associated with the integrable N-particle systems of hyp…
nlin.SI2012★ 28 cited
Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
Martin Hallnäs, Simon Ruijsenaars
We obtain kernel functions associated with the quantum relativistic Toda systems, both for the periodic version and for the nonperiodic version with its dual. This involves taking…