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arXiv · 1003.0860

Diffusive wavelets on groups and homogeneous spaces

Svend Ebert·Jens Wirth
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Abstract

The aim of this exposition is to explain basic ideas behind the concept of diffusive wavelets on spheres in the language of representation theory of Lie groups and within the framework of the group Fourier transform given by Peter-Weyl decomposition of $L^2(G)$ for a compact Lie group $G$. After developing a general concept for compact groups and their homogeneous spaces we give concrete examples for tori -which reflect the situation on $R^n$- and for spheres $S^2$ and $S^3$.

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Svend Ebert, Jens Wirth. 2010-03-03. Diffusive wavelets on groups and homogeneous spaces. https://doi.org/10.1017/s030821051000051x

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