Šikić, Hrvoje; matematični kolokvij oktober 2003

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The structure of the set of tight frame wavelets

Hrvoje Šikić

University of Zagreb

9. oktober 2003

In recent years there is a strong tendency to study wavelet-type systems of functions, which are not necessarily orthonormal. Our work concentrates on two fundamental properties: one is to keep the reproducing property, while the other is to include as general class of low pass filters as possible. This natural requirements lead us to develop the class of normalized tight frame wavelets (TFW, for short) and the corresponding class of MRA TWF-s. As it turned out this class is much richer than the class of orthonormal wavelets. We shall present new results on the structure of this class.

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