Shannon Multiresolution Analysis on the Heisenberg Group - Mathematics > Functional AnalysisReport as inadecuate




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Abstract: We present a notion of frame multiresolution analysis on the Heisenberggroup, abbreviated by FMRA, and study its properties. Using the irreduciblerepresentations of this group, we shall define a sinc-type function which isour starting point for obtaining the scaling function. Further, we shall give aconcrete example of a wavelet FMRA on the Heisenberg group which is analogousto the ShannonMRA on $\RR$.



Author: Azita Mayeli

Source: https://arxiv.org/







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