Shannon Multiresolution Analysis on the Heisenberg Group
Functional Analysis
2015-05-13 v2 Representation Theory
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 .
Cite
@article{arxiv.0804.0245,
title = {Shannon Multiresolution Analysis on the Heisenberg Group},
author = {Azita Mayeli},
journal= {arXiv preprint arXiv:0804.0245},
year = {2015}
}
Comments
17 pages