Shannon-Like Wavelet Frames on a Class of Nilpotent Lie Groups
Representation Theory
2013-03-13 v5
Abstract
We prove and construct Shannon-like Parseval wavelet frames for a class of two step connected, and simply connected nilpotent Lie groups, using a mixture of representation theory, group Fourier theory, and Gabor theory. Moreover, we are able to compute an upperbound for the norm of these Parseval frame wavelets.
Keywords
Cite
@article{arxiv.1205.3978,
title = {Shannon-Like Wavelet Frames on a Class of Nilpotent Lie Groups},
author = {Vignon Oussa},
journal= {arXiv preprint arXiv:1205.3978},
year = {2013}
}