Shannon-Like Wavelet Frames on a Class of Nilpotent Lie Groups
  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. 
Vignon Oussa
math.RT