Geodesic
Unconditional biorthogonal wavelet bases in $L^p({\Bbb R}^d)$
Waldemar Pompe1
1 FB Mathematik, AG6 Schloßgartenstr. 7 64289 Darmstadt, Germany
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 19-34.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that a biorthogonal wavelet basis yields an unconditional basis in all spaces $L^{p}({\mathbb R}^d)$ with $1 p \infty $, provided the biorthogonal wavelet set functions satisfy weak decay conditions. The biorthogonal wavelet set is associated with an arbitrary dilation matrix in any dimension.
DOI : 10.4064/cm92-1-2
Keywords: prove biorthogonal wavelet basis yields unconditional basis spaces mathbb infty provided biorthogonal wavelet set functions satisfy weak decay conditions biorthogonal wavelet set associated arbitrary dilation matrix dimension

Waldemar Pompe 1

1 FB Mathematik, AG6 Schloßgartenstr. 7 64289 Darmstadt, Germany 
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Waldemar Pompe. Unconditional biorthogonal wavelet bases in $L^p({\Bbb R}^d)$. Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 19-34. doi : 10.4064/cm92-1-2. http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-2/

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