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

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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