caa a22 4500 467910367 CHVBK 20180406152847.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s11232-006-0003-y doi (NATIONALLICENCE)springer-10.1007/s11232-006-0003-y Ruijsenaars S. Centre for Mathematics and Computer Science, Amsterdam, The Netherlands aut Zero-Eigenvalue Eigenfunctions for Differences of Elliptic Relativistic Calogero-Moser Hamiltonians [Elektronische Daten] [S. Ruijsenaars] Letting Al(x) denote the commuting analytic difference operators of elliptic relativistic Calogero-Moser type, we present and study zero-eigenvalue eigenfunctions for the operators Al(x) − Al(−y) (with l = 1, 2,..., N and x, y ∈ ℂ N). The eigenfunctions are products of elliptic gamma functions. They are invariant under permutations of x1,..., xN and y1,..., yN and under interchange of the step-size parameters. Springer Science+Business Media, Inc., 2006 relativistic Calogero-Moser systems nationallicence joint eigenfunctions nationallicence elliptic functional equations nationallicence elliptic gamma function nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 25-33 0040-5779 146:1<25 2006 146 11232 https://doi.org/10.1007/s11232-006-0003-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0003-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ruijsenaars S. Centre for Mathematics and Computer Science, Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 25-33 0040-5779 146:1<25 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer