On the continuous wave packet frames

Consider the wave packet group G = Hn (K bK) where H and K are locally compact groups, K is also abelian and : H ! Aut(K bK) is a continuous homomorphism. In this article, we extend the notation of Zak transform on L2(G ) and introduce a frame condition to generate wave packet frames on G .

Keywords:

Wave packet frame , Zak transform , Locally compact abelian group