# N-point spherical functions and asymptotic boundary KZB equations

@article{Stokman2022NpointSF,
title={N-point spherical functions and asymptotic boundary KZB equations},
author={Jasper V. Stokman and Nicolai Reshetikhin},
journal={Inventiones mathematicae},
year={2022}
}
• Published 6 February 2020
• Mathematics
• Inventiones mathematicae
Let $G$ be a split real connected Lie group with finite center. In the first part of the paper we define and study formal elementary spherical functions. They are formal power series analogues of elementary spherical functions on $G$ in which the role of the quasi-simple admissible $G$-representations is replaced by Verma modules. For generic highest weight we express the formal elementary spherical functions in terms of Harish-Chandra series and integrate them to spherical functions on the…
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