Equidistribution of cusp forms on PSL 2 (𝐙) PSL 2 (𝐑)
Annales de l'Institut Fourier, Volume 47 (1997) no. 3, pp. 967-984.

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.

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).

     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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {47},
     number = {3},
     year = {1997},
     pages = {967-984},
     doi = {10.5802/aif.1588},
     mrnumber = {99c:11063},
     zbl = {0868.43011},
     language = {en},
Jakobson, Dmitri. Equidistribution of cusp forms on ${\rm PSL}_2({\bf Z})\backslash {\rm PSL}_2({\bf R})$. Annales de l'Institut Fourier, Volume 47 (1997) no. 3, pp. 967-984. doi : 10.5802/aif.1588. https://aif.centre-mersenne.org/item/AIF_1997__47_3_967_0/

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