Equidistribution of cusp forms on PSL 2 (𝐙)∖ PSL 2 (𝐑)
Jakobson, Dmitri
Annales de l'Institut Fourier, Tome 47 (1997), p. 967-984 / Harvested from Numdam
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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 PSL 2 (Z)∖ PSL 2 (R).

We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on PSL 2 (Z)∖ PSL 2 (R). This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on PSL 2 (Z)∖H.

@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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