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

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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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Correspondence to Erez Lapid.

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Finis, T., Lapid, E. On the analytic properties of intertwining operators II: Local degree bounds and limit multiplicities. Isr. J. Math. 230, 771–793 (2019). https://doi.org/10.1007/s11856-019-1843-0

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  • DOI: https://doi.org/10.1007/s11856-019-1843-0

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