A panoramic view of groupoids and MRAs

Marius Ionescu; Paul S Muhly

doi:10.48550/arxiv.2505.11573

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A panoramic view of groupoids and MRAs

Marius Ionescu and Paul S Muhly

ArXiV.org

Cornell University

05/16/2025

DOI: 10.48550/arxiv.2505.11573

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematics - Operator Algebras

Details

Title: Subtitle: A panoramic view of groupoids and MRAs
Creators: Marius Ionescu - United States Naval Academy
Paul S Muhly - University of Iowa
Resource Type: Preprint
Publication Details: ArXiV.org
Publisher: Cornell University; Ithaca, New York
DOI: 10.48550/arxiv.2505.11573
ISSN: 2331-8422
Language: English
Date posted: 05/16/2025
Academic Unit: Mathematics
Record Identifier: 9984824325502771

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