Revista Matemática Iberoamericana


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Volume 10, Issue 2, 1994, pp. 283–347
DOI: 10.4171/RMI/153

Published online: 1994-08-31

Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions

Pierre Gilles Lemarié-Rieusset[1]

(1) Université d'Évry Val d'Essonne, Evry, France

We show that (bi-orthogonal) wavelet bases associated to a dilation matrix which is compatible with integer shifts are generally provided by a multi-resolution analysis. The proof is done by studying the projectors which commute with integer shifts.

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Lemarié-Rieusset Pierre Gilles: Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions. Rev. Mat. Iberoam. 10 (1994), 283-347. doi: 10.4171/RMI/153