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arXiv · 0804.0245

Shannon Multiresolution Analysis on the Heisenberg Group

Azita Mayeli
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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 $\RR$.

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Azita Mayeli. 2008-04-02. Shannon Multiresolution Analysis on the Heisenberg Group. https://doi.org/10.1016/j.jmaa.2008.07.035

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