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A general construction of nonseparable multivariate orthonormal wavelet bases

  • Research Article
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Central European Journal of Mathematics

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Bizerte, University November 7th at Carthage, Carthage, Tunisia

    Abderrazek Karoui

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  1. Abderrazek Karoui
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Karoui, A. A general construction of nonseparable multivariate orthonormal wavelet bases. centr.eur.j.math. 6, 504–525 (2008). https://doi.org/10.2478/s11533-008-0052-6

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  • DOI: https://doi.org/10.2478/s11533-008-0052-6

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