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On the global Gan–Gross–Prasad conjecture for unitary groups: Approximating smooth transfer of Jacquet–Rallis

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Published/Copyright: April 19, 2017

Abstract

Zhang proved the global Gan–Gross–Prasad conjecture for U(n+1)×U(n) under some local conditions [19]. One of the conditions is that the unitary groups are split at the archimedean places. We remove this assumption at the archimedean places in this paper.

Acknowledgements

The author thanks W. Zhang and R. Beuzart-Plessis for many helpful discussions. The author thanks S. Zhang for the interest in this work and the constant support. The author would also like to thank the anonymous referee for very careful reading of the manuscript and many useful comments.

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Received: 2015-12-11
Revised: 2017-01-12
Published Online: 2017-04-19
Published in Print: 2019-11-01

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