Tight wave packet frames for L2(R)L2(R) and H2(R)H2(R)

In this paper we establish a characterization of tight wave packet frames for L2(R)L2(R) and we also prove that it is possible to construct frames in H2(R)H2(R) which are given by dilation, translation and modulation of a single function ψ, where ψ  , as well as ψˆ, belongs to the Schwartz class.