Equidistribution of cusp forms on PSL 2 ( 𝐙 ) ∖ PSL 2 ( 𝐑 )

Dmitri Jakobson

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 3, page 967-984
  • ISSN: 0373-0956

Abstract

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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 .

How to cite

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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 47.3 (1997): 967-984. <http://eudml.org/doc/75252>.

@article{Jakobson1997,
abstract = {We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on $\{\rm PSL\}_2(\{\bf Z\})\backslash \{\rm PSL\}_2(\{\bf R\})$. This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on $\{\rm PSL\}_2(\{\bf Z\})\backslash \{\bf H\}$.},
author = {Jakobson, Dmitri},
journal = {Annales de l'institut Fourier},
keywords = {Eisenstein series; cusp forms; Wigner function; -functions; generalized hypergeometric functions; equidistribution theorem; Wigner distributions},
language = {eng},
number = {3},
pages = {967-984},
publisher = {Association des Annales de l'Institut Fourier},
title = {Equidistribution of cusp forms on $\{\rm PSL\}_2(\{\bf Z\})\backslash \{\rm PSL\}_2(\{\bf R\})$},
url = {http://eudml.org/doc/75252},
volume = {47},
year = {1997},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 3
SP - 967
EP - 984
AB - We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on ${\rm PSL}_2({\bf Z})\backslash {\rm PSL}_2({\bf R})$. This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on ${\rm PSL}_2({\bf Z})\backslash {\bf H}$.
LA - eng
KW - Eisenstein series; cusp forms; Wigner function; -functions; generalized hypergeometric functions; equidistribution theorem; Wigner distributions
UR - http://eudml.org/doc/75252
ER -

References

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