# A general construction of nonseparable multivariate orthonormal wavelet bases

Open Mathematics (2008)

- Volume: 6, Issue: 4, page 504-525
- ISSN: 2391-5455

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topAbderrazek Karoui. "A general construction of nonseparable multivariate orthonormal wavelet bases." Open Mathematics 6.4 (2008): 504-525. <http://eudml.org/doc/269350>.

@article{AbderrazekKaroui2008,

abstract = {The construction of nonseparable and compactly supported orthonormal wavelet bases of L 2(R n); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional multiwavelet bases.},

author = {Abderrazek Karoui},

journal = {Open Mathematics},

keywords = {multidimensional wavelets; non-separable orthogonal wavelet bases; stability; transition operator; multidimensional multiwavelet masks},

language = {eng},

number = {4},

pages = {504-525},

title = {A general construction of nonseparable multivariate orthonormal wavelet bases},

url = {http://eudml.org/doc/269350},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Abderrazek Karoui

TI - A general construction of nonseparable multivariate orthonormal wavelet bases

JO - Open Mathematics

PY - 2008

VL - 6

IS - 4

SP - 504

EP - 525

AB - The construction of nonseparable and compactly supported orthonormal wavelet bases of L 2(R n); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional multiwavelet bases.

LA - eng

KW - multidimensional wavelets; non-separable orthogonal wavelet bases; stability; transition operator; multidimensional multiwavelet masks

UR - http://eudml.org/doc/269350

ER -

## References

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