A panoramic view of groupoids and MRAs

Abstract

This sequel to im2008 uses groupoid technology to provide new proofs of the famous theorems of Mallat [Theorem 1 and 2]MallTAMS89 that extend to much broader contexts than those conceived by Mallat. This work was inspired in large part by BaggcoJFAA09,BagcoJFA10,LarRaeCM06,Larsen-Raeburn2007, written by Iain Raeburn and co-authors.

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