Wavelet Bases of the Interval: A New Approach

Khaled Melkemi, Zouhir Mokhtari · 2007

We introduce a new approach in order to construct a wavelets with arbitrary support on the interval. This result allows us to adapt on the interval some important classes of wavelets (coiflets, symlets, Lemarie's wavelets). In addition, we show how to obtain multiresolution analysis on the interval with better approximation rate in some neighborhood of the interval. Mathematics Subject Classification: 42C40, 42C20, 42C15, 65T60

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