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arXiv · 1205.3978

Shannon-Like Wavelet Frames on a Class of Nilpotent Lie Groups

Vignon Oussa
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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.

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Vignon Oussa. 2013-03-12. Shannon-Like Wavelet Frames on a Class of Nilpotent Lie Groups. https://arxiv.org/abs/1205.3978

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