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.
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© 2009 Birkhäuser Verlag
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(2009). What is a Wavelet?. In: Numerical Solutions of Partial Differential Equations. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8940-6_2
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DOI: https://doi.org/10.1007/978-3-7643-8940-6_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8939-0
Online ISBN: 978-3-7643-8940-6
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