Groups, Wavelets, and Wavelet Sets

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

Wavelet and frames have become a widely used tool in mathematics, physics,
and applied science during the last decade. This article gives an overview over
some well known results about the continuous and discrete wavelet transforms
and groups acting on $\mathbb{R}^n$. We also show how this action can give rise
to wavelets, and in particular, MSF wavelets)in $L^2(\mathbb{R}^n)$.

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