Frames in two dimensions arising from wavelet transforms
Laura Rebollo‐Neira · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2001
3 mathematical scheme for generating functions spanning the Hilbert space L2(R2,dτdss2)is advanced. The completeness condition is guaranteed by the fact that the proposed functions constitute a frame for L2 (R2, (dτ ds/s2)). Such functions are built up out of the following ingredients: (i) the wavelet transform, and (ii) a frame for L2(R, dt).