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Abstract

Let us start by explaining what we mean by wavelets. There are in the literature many definitions of wavelets and wavelet bases, going from the more strict ones (a wavelet is the dilated and translated version of a mother wavelet satisfying a suitable set of properties) to more and more general definitions. The aim of this chapter is to review the classical definition of wavelets for R and then point out which of its properties can be retained when replacing R with a generic domain Ω.

Keywords

Wavelet Function Wavelet Base Multiresolution Analysis Riesz Basis Wavelet Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 2009

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