Robin van Haastrecht
Published 2020-07-13Version 1
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.
Comments: 18 pages, 0 figures
Representation theory of the $α$-determinant and zonal spherical functions
Geodesic Normal Forms and Hecke Algebras for the Complex Reflection Groups G(de,e,n)
Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
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