Diffusive wavelets on groups and homogeneous spaces
Ebert, Svend · Wirth, Jens
Original · EN
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 L²(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 Rⁿ- and for spheres S² and S³.
English translation
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