Geodesic
On the Inner Product of Certain Automorphic Forms and Applications
Goran Muic1
1Dept. of Mathematics, University of Zagreb, Bijenicka cesta 30, 10000 Zagreb, Croatia
Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1091-1107

Voir la notice de l'article provenant de la source Heldermann Verlag

\def\R{{\Bbb R}} Let $\Gamma\subset {\rm SL}_2(\R)$ be a discrete subgroup such that the quotient $\Gamma\backslash{\rm SL}_2(\R)$ has a finite volume. In this paper we compute the Petersson inner product of automorphic cuspidal forms with Poincar\' e series constructed out of matrix coefficients of a holomorphic discrete series of lowest weight $m\ge 3$. We apply the result to give new and representation-theoretic proofs of previous results, some of which were known to Petersson, and are anyway not surprising to experts.
Classification : 11F70, 11F20
Mots-clés : Fuchsian groups, automorphic forms, modular forms, Poincare series

Goran Muic  1

1 Dept. of Mathematics, University of Zagreb, Bijenicka cesta 30, 10000 Zagreb, Croatia 
Goran Muic. On the Inner Product of Certain Automorphic Forms and Applications. Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1091-1107. http://geodesic.mathdoc.fr/item/JOLT_2012_22_4_a8/
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     title = {On the {Inner} {Product} of {Certain} {Automorphic} {Forms} and {Applications}},
     journal = {Journal of Lie Theory},
     pages = {1091--1107},
     year = {2012},
     volume = {22},
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