Gelfand Pairs of Complex Reflection Groups

Published 13 Jul 2020 in math.RT | (2007.06265v3)

Abstract: In this article the zonal spherical functions of the Gelfand pair $(G(r,d,n), S_n)$ of complex reflection groups will be calculated. After this, a product formula for these spherical functions and a discrete analog of the Laplace operator which has the spherical functions as eigenfunctions will be given.

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Robin van Haastrecht

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