Exotic approximate identities and Maass forms

@article{FernandoChamizo2013,
abstract = {We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.},
author = {Fernando Chamizo, Dulcinea Raboso, Serafín Ruiz-Cabello},
journal = {Acta Arithmetica},
keywords = {automorphic kernels; approximate identities; Maass cusp forms; quaternion algebras; Eisenstein series; Bessel functions},
language = {eng},
number = {1},
pages = {27-46},
title = {Exotic approximate identities and Maass forms},
url = {http://eudml.org/doc/279216},
volume = {159},
year = {2013},
}

TY - JOUR
AU - Fernando Chamizo
AU - Dulcinea Raboso
AU - Serafín Ruiz-Cabello
TI - Exotic approximate identities and Maass forms
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 1
SP - 27
EP - 46
AB - We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.
LA - eng
KW - automorphic kernels; approximate identities; Maass cusp forms; quaternion algebras; Eisenstein series; Bessel functions
UR - http://eudml.org/doc/279216
ER -