On spherical functions on the group $SU(2)\times SU(2) \times SU(2)$
Yury A. Neretin
TL;DR
This paper derives a generating function that encapsulates all spherical functions on the product of multiple SU(2) groups, providing a comprehensive mathematical framework for these functions.
Contribution
It introduces a unified generating function for spherical functions on the product of several SU(2) groups, extending previous understanding of these functions.
Findings
Derived a generating function for spherical functions on SU(2)^n
Unified treatment of spherical functions on product groups
Facilitates further analysis of harmonic analysis on these groups
Abstract
We write a generating function for all spherical functions on the product of several copies of SU(2).
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