  The completeness of the quasinormal modes of the wave equation with
Poeschl-Teller potential is investigated. A main result is that after a large
enough time $t_0$, the solutions of this equation corresponding to
$C^{\infty}$-data with compact support can be expanded uniformly in time with
respect to the quasinormal modes, thereby leading to absolutely convergent
series. Explicit estimates for $t_0$ depending on both the support of the data
and the point of observation are given. For the particular case of an ``early''
time and zero distance between the support of the data and observational point,
it is shown that the corresponding series is not absolutely convergent, and
hence that there is no associated sum which is independent of the order of
summation.
