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Titlebook: An Introduction to Frames and Riesz Bases; Ole Christensen Textbook 2016Latest edition Springer International Publishing Switzerland 2016

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Wavelet Frames via Extension Principles,Frame multiresolution analysis is just one way to construct wavelet frames via multiscale techniques. We already mentioned in Section . that the conditions can be weakened further, and the purpose of this chapter is to show how one can still construct frames.
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Die Konstruktion einer Ideologiemplete basis.” It turns out that, in the technical sense, one has to be careful with such statements. In fact, we will prove the existence of a frame which has no relation to a basis: no subfamily of the frame forms a basis. On the other hand, sufficient conditions for a frame to contain a Riesz basis as a subfamily are also given.
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