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arXiv · 1603.05475

On the analytic properties of intertwining operators I: global normalizing factors

Tobias Finis·Erez Lapid
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Abstract

We provide a uniform estimate for the $L^1$-norm (over any interval of bounded length) of the logarithmic derivatives of global normalizing factors associated to intertwining operators for the following reductive groups over number fields: inner forms of $GL(n)$; quasi-split classical groups and their similitude groups; the exceptional group $G_2$. This estimate is a key ingredient in the analysis of the spectral side of Arthur's trace formula. In particular, it is applicable to the limit multiplicity problem studied by the authors in earlier papers.

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Tobias Finis, Erez Lapid. 2016-03-17. On the analytic properties of intertwining operators I: global normalizing factors. https://arxiv.org/abs/1603.05475

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