Abstract :
We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated
by FMRA, and study its properties. Using the irreducible representations of this group,
we shall define a sinc-type function which is our starting point for obtaining the scaling
function. Further, we shall give a concrete example of a wavelet FMRA on the Heisenberg
group which is analogous to the Shannon MRA on R.