Prof. Emer. Masatoshi Noumi
Kobe University, Japan
Perturbative eigenfunctions for the elliptic Ruijsenaars difference operators
I will report recent progresses in the study of joint eigenfunctions for the commuting family of elliptic Ruijsenaars difference operators, on the basis of collaboration with Edwin Langmann (KTH, Sweden) and Junichi Shiraishi (Univerisity of Tokyo, Japan). We propose in particular two classes of perturbative eigenfunctions which are elliptic deformations of Macdonald polynomials and asymptotically free eigenfunctions in the trigonometric case, respectively.
Thursday 09 Jul 2020, 11AM Tokyo Time.