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arXiv · 1705.08191

On the analytic properties of intertwining operators II: local degree bounds and limit multiplicities

Tobias Finis·Erez Lapid
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Abstract

In this paper we continue to study the degrees of matrix coefficients of intertwining operators associated to reductive groups over $p$-adic local fields. Together with previous analysis of global normalizing factors we can control the analytic properties of global intertwining operators for a large class of reductive groups over number fields, in particular for inner forms of $GL(n)$ and $SL(n)$ and quasi-split classical groups. This has a direct application to the limit multiplicity problem for these groups.

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Tobias Finis, Erez Lapid. 2017-05-23. On the analytic properties of intertwining operators II: local degree bounds and limit multiplicities. https://doi.org/10.1007/s11856-019-1843-0

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