Nonuniform Wave Packet Frames in L~2 (R)

摘要

In this paper, we construct wave packet frames in L~2(R) over a translation set Λ, which is not necessarily a group. We call it nonuniform wave packet frame. We present a necessary and sufficient condition for the wave packet system {D_((2N)~j) T_λE_(c_m) ψ}_(j,m∈Z, λ∈Λ) to be a frame for L~2(R).