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

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.

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     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},
     pages = {967--984},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {47},
     number = {3},
     year = {1997},
     doi = {10.5802/aif.1588},
     mrnumber = {99c:11063},
     zbl = {0868.43011},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1588/}
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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) no. 3, pp. 967-984. doi : 10.5802/aif.1588. http://www.numdam.org/articles/10.5802/aif.1588/

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