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Some equations relating multiwavelets and multiscaling functions

Dorin Ervin Dutkay
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Abstract

The local trace function introduced in \cite{Dut} is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame wavelets is given. Particular instances of the construction include normalized tight frame and orthonormal wavelet sets.

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Dorin Ervin Dutkay. 2005-11-06. Some equations relating multiwavelets and multiscaling functions. https://arxiv.org/abs/math/0511151

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