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arXiv · 2505.11573

A panoramic view of groupoids and MRAs

Marius Ionescu·Paul S. Muhly
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Abstract

This sequel to \cite{im2008} uses groupoid technology to provide new proofs of the famous theorems of Mallat \cite[Theorem 1 and 2]{Mall_TAMS89} that extend to much broader contexts than those conceived by Mallat. This work was inspired in large part by \cite{Bagg_co_JFAA09,Bag_co_JFA10,LarRae_CM06,Larsen-Raeburn2007}, written by Iain Raeburn and co-authors.

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Marius Ionescu, Paul S. Muhly. 2025-05-16. A panoramic view of groupoids and MRAs. https://doi.org/10.1017/s1446788725101377

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