We provide a formula for the symplectic period of an Eisenstein series on and determine when it is not identically zero.
On donne une formule pour la période symplectique d’une série d’Eisenstein pour le groupe et on détermine sous quelles conditions celle-ci n’est pas identiquement nulle.
Keywords: symplectic periods, intertwining periods, continuous spectrum
Mot clés : périodes symplectiques, périodes d’entrelacement, spectre continu
@article{AIF_2014__64_4_1561_0, author = {Yamana, Shunsuke}, title = {Symplectic periods of the continuous spectrum of $\mathrm{GL}(2n)$}, journal = {Annales de l'Institut Fourier}, pages = {1561--1580}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {64}, number = {4}, year = {2014}, doi = {10.5802/aif.2890}, zbl = {06387317}, mrnumber = {3329673}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2890/} }
TY - JOUR AU - Yamana, Shunsuke TI - Symplectic periods of the continuous spectrum of $\mathrm{GL}(2n)$ JO - Annales de l'Institut Fourier PY - 2014 SP - 1561 EP - 1580 VL - 64 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2890/ DO - 10.5802/aif.2890 LA - en ID - AIF_2014__64_4_1561_0 ER -
%0 Journal Article %A Yamana, Shunsuke %T Symplectic periods of the continuous spectrum of $\mathrm{GL}(2n)$ %J Annales de l'Institut Fourier %D 2014 %P 1561-1580 %V 64 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2890/ %R 10.5802/aif.2890 %G en %F AIF_2014__64_4_1561_0
Yamana, Shunsuke. Symplectic periods of the continuous spectrum of $\mathrm{GL}(2n)$. Annales de l'Institut Fourier, Volume 64 (2014) no. 4, pp. 1561-1580. doi : 10.5802/aif.2890. http://www.numdam.org/articles/10.5802/aif.2890/
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