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Rootwise estimates for Weyl alternants

Li, Xiaocheng et al.
arXiv (All) · Papers
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classical-analysis-and-odesrepresentation-theory
For a reduced crystallographic root system with Weyl group $W$, Weyl alternants are signed sums of exponentials indexed by $W$. They occur in the numerators of the Weyl character formula and the explicit formula for spherical functions on complex semisimple groups. We establish rootwise bounds that
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