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