Periods of automorphic forms |
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| Authors: | Hervé Jacquet Erez Lapid Jonathan Rogawski |
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| Institution: | Department of Mathematics, Columbia University, New York, New York 10027 ; Department of Mathematics, Weizmann Institute, Rehovot, Israel ; Department of Mathematics, Hebrew University, Jerusalem, Israel |
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| Abstract: | Let  be a quadratic extension of number fields and  , where  is a reductive group over  . We define the integral (in general, non-convergent) of an automorphic form on  over  via regularization. This regularized integral is used to derive a formula for the integral over  of a truncated Eisenstein series on  . More explicit results are obtained in the case  . These results will find applications in the expansion of the spectral side of the relative trace formula. |
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