Shannon Multiresolution Analysis on the Heisenberg Group

Details Shannon Multiresolution Analysis on the Heisenberg Group Shannon Multiresolution Analysis on the Heisenberg Group

2008-04-02

arxiv.org/abs/0804.0245v2

Mathematics

Functional Analysis

17 pages

Scientific paper

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 $\RR$.

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