Geodesic
A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2
Karoui, Abderrazek1
1 Université du 7 Novembre à Carthage, Institut Supérieur des Sciences Appliquées et de la Technologie de Mateur, 7030, Tunisia
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 32-39.

Voir la notice de l'article provenant de la source American Mathematical Society

In this note, we announce a general method for the construction of nonseparable orthogonal wavelet bases of $L^2(\mathbb {R}^n),$ where $n\geq 2.$ Hence, we prove the existence of such type of wavelet bases for any integer $n\geq 2.$ Moreover, we show that this construction method can be extended to the construction of $n$-D multiwavelet matrix filters.
DOI : 10.1090/S1079-6762-03-00109-4

Karoui, Abderrazek 1

1 Université du 7 Novembre à Carthage, Institut Supérieur des Sciences Appliquées et de la Technologie de Mateur, 7030, Tunisia 
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Karoui, Abderrazek. A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 32-39. doi : 10.1090/S1079-6762-03-00109-4. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-03-00109-4/

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