Shannon multiresolution analysis on the Heisenberg group |
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| Authors: | Azita Mayeli |
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| Affiliation: | Technische Universität München, Center for Mathematics, Boltzmannstrasse 3, 85747 Garching near Munich, Germany |
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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 R. |
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| Keywords: | Heisenberg group Schrö dinger representations Group Fourier transformation Plancherel theorem Band-limited functions Convolution operator Wavelet frame |
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