Spherical functions for Gelfand pairs of complex reflection groups

DOI10.1016/J.INDAG.2020.12.002zbMATH Open1498.20099arXiv2007.06265OpenAlexW3117331405MaRDI QIDQ2657646

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Publication date: 14 March 2021

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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.

Full work available at URL: https://arxiv.org/abs/2007.06265

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