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 .
Nous donnons la preuve dâune version microlocale dâun rĂ©sultat de W. Luo et P. Sarnak concernant la rĂ©partition asymptotique des fonctions de Wigner associĂ©es aux formes paraboliques sur .
@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}, pages = {967--984}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {3}, year = {1997}, doi = {10.5802/aif.1588}, zbl = {0868.43011}, mrnumber = {99c:11063}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1588/} }
TY - JOUR AU - Jakobson, Dmitri TI - Equidistribution of cusp forms on ${\rm PSL}_2({\bf Z})\backslash {\rm PSL}_2({\bf R})$ JO - Annales de l'Institut Fourier PY - 1997 SP - 967 EP - 984 VL - 47 IS - 3 PB - Association des Annales de lâinstitut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1588/ DO - 10.5802/aif.1588 LA - en ID - AIF_1997__47_3_967_0 ER -
%0 Journal Article %A Jakobson, Dmitri %T Equidistribution of cusp forms on ${\rm PSL}_2({\bf Z})\backslash {\rm PSL}_2({\bf R})$ %J Annales de l'Institut Fourier %D 1997 %P 967-984 %V 47 %N 3 %I Association des Annales de lâinstitut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1588/ %R 10.5802/aif.1588 %G en %F 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, Volume 47 (1997) no. 3, pp. 967-984. doi : 10.5802/aif.1588. https://aif.centre-mersenne.org/articles/10.5802/aif.1588/
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