Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620638 | Journal of Mathematical Analysis and Applications | 2008 | 14 Pages |
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.
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