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Analysis on the crown domain

Bernhard Kroetz·Eric M. Opdam
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Abstract

In this paper one finds:1) A simple combinatorical description of the distinguished boundary of the crown domain in terms of the affine Weyl group; 2) Optimal upper and lower bounds for holomorphically extended spherical functions; 3) First progress on how to attach complex invariants to irreducible representations; 4) A new unipotent model for the crown domain; 5) Optimal bounds for the exponential decay of cuspidal automorphic forms.

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Bernhard Kroetz, Eric M. Opdam. 2007-03-23. Analysis on the crown domain. https://arxiv.org/abs/math/0606213

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