Groupoid Methods in Wavelet Analysis
Marius Ionescu, Paul S. Muhly
TL;DR
This paper explores the application of Deaconu-Renault groupoids to wavelet analysis and fractal studies, providing a novel mathematical framework for understanding these complex structures.
Contribution
It introduces a new approach using groupoid theory to analyze wavelets and fractals, bridging operator algebras and harmonic analysis.
Findings
Established a connection between groupoid C*-algebras and wavelet theory
Provided a framework for analyzing fractals using groupoid methods
Suggested new avenues for research in wavelet and fractal analysis
Abstract
We describe how the Deaconu-Renault groupoid may be used in the study of wavelets and fractals.
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Taxonomy
TopicsComplex Systems and Time Series Analysis