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Construction of multivariate compactly supported orthonormal wavelets. (English) Zbl 1101.65124

The constructive method of multivariate compactly supported orthonomal wavelets for any given compactly supported scaling function is an open problem. The author gives a partial answer. The construction is based on a standard multi-resolution analysis. Finally, the author thinks that the constructions can be generalized to the multivariate setting.

MSC:

65T60 Numerical methods for wavelets
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References:

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