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On Relative Trace Formulae: the Case of Jacquet-Rallis

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We give an account of recent works on Jacquet-Rallis’ approach to the Gan-Gross-Prasad conjecture for unitary groups. We report on the present state of the Jacquet-Rallis relative trace formulae and… Click to show full abstract

We give an account of recent works on Jacquet-Rallis’ approach to the Gan-Gross-Prasad conjecture for unitary groups. We report on the present state of the Jacquet-Rallis relative trace formulae and on some current applications of it. We give also a precise computation of the constant that appears in the statement “Fourier transform and transfer commute up to a constant”.

Keywords: jacquet rallis; relative trace; jacquet; trace formulae

Journal Title: Acta Mathematica Vietnamica
Year Published: 2019

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