Orthonormal dilations of Parseval wavelets

Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga +1

We prove that any Parseval wavelet frame is the projection of an orthonormal wavelet basis for a representation of the Baumslag-Solitar group $$BS(1,2)=<u,t|ut{u}^{-1}=t^2>.$$ We…