Frame of translates and FMRA on L-2(R, C-N) as a Hilbert M-N(C)-module

摘要

In this paper, we consider L-2(R, C-N) as a Hilbert M-N(C)-module. The frames of translates and frame multiresolution analysis on this space are studied. We characterize frames of translates on this space. Also, relations between the frames of translates of L-2(R) and those of L-2(R, C-N) are investigated.