Nous donnons la preuve d’une version microlocale d’un résultat de W. Luo et P. Sarnak concernant la répartition asymptotique des fonctions de Wigner associées aux formes paraboliques sur .
We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on . This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on .
@article{AIF_1997__47_3_967_0, author = {Jakobson, Dmitri}, title = {Equidistribution of cusp forms on ${\rm PSL}\_2({\bf Z})\backslash {\rm PSL}\_2({\bf R})$}, journal = {Annales de l'Institut Fourier}, volume = {47}, year = {1997}, pages = {967-984}, doi = {10.5802/aif.1588}, mrnumber = {99c:11063}, zbl = {0868.43011}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1997__47_3_967_0} }
Jakobson, Dmitri. Equidistribution of cusp forms on ${\rm PSL}_2({\bf Z})\backslash {\rm PSL}_2({\bf R})$. Annales de l'Institut Fourier, Tome 47 (1997) pp. 967-984. doi : 10.5802/aif.1588. http://gdmltest.u-ga.fr/item/AIF_1997__47_3_967_0/
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