JournalsrmiVol. 10, No. 2pp. 283–347

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

  • Pierre Gilles Lemarié-Rieusset

    Université d'Évry Val d'Essonne, Evry, France
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Abstract

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.

Cite this article

Pierre Gilles Lemarié-Rieusset, Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions. Rev. Mat. Iberoam. 10 (1994), no. 2, pp. 283–347

DOI 10.4171/RMI/153