Analyse multi-résolution bi-orthogonale sur l'intervalle et applications

A. Jouini; P. G. Lemarie-Rieusset

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 4, page 453-476
  • ISSN: 0294-1449

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Jouini, A., and Lemarie-Rieusset, P. G.. "Analyse multi-résolution bi-orthogonale sur l'intervalle et applications." Annales de l'I.H.P. Analyse non linéaire 10.4 (1993): 453-476. <http://eudml.org/doc/78313>.

@article{Jouini1993,
author = {Jouini, A., Lemarie-Rieusset, P. G.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {wavelets; multiresolution analysis; bi-orthogonal systems; Sobolev spaces; dyadic translations},
language = {fre},
number = {4},
pages = {453-476},
publisher = {Gauthier-Villars},
title = {Analyse multi-résolution bi-orthogonale sur l'intervalle et applications},
url = {http://eudml.org/doc/78313},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Jouini, A.
AU - Lemarie-Rieusset, P. G.
TI - Analyse multi-résolution bi-orthogonale sur l'intervalle et applications
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 4
SP - 453
EP - 476
LA - fre
KW - wavelets; multiresolution analysis; bi-orthogonal systems; Sobolev spaces; dyadic translations
UR - http://eudml.org/doc/78313
ER -

References

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  1. [1] Z. Cieselski et T. Figiel, Spline bases in classical function spaces on compact manifolds, part II, Studia Math., LXXVCI, 1983, p. 95-136. Zbl0599.46042
  2. [2] A. Cohen, I. Daubechies et J.-C. Feauveau, Bi-orthogonal bases of compactly supported wavelets, ATT et Bell Laboratories, preprint, 1990. Zbl0776.42020
  3. [3] I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Applied Math., vol. 46, 1988, p. 909-996. Zbl0644.42026MR951745
  4. [4] I. Daubechies, Communication personnelle. 
  5. [5] J.C. Feauveau, Analyse multi-résolution par ondelettes non orthogonales et base de filtres numériques, Thèse, Paris-XI, 1990. 
  6. [6] S. Jaffard et Y. Meyer, Bases d'ondelettes dans les ouverts bornés, J. Math. Pures Appl., vol. 68, 1989, p. 95-108. Zbl0704.46009MR985955
  7. [7] P.G. Lemarie, Fonctions à support compact dans les analyses multi-résolutions, Rev. Mat. Ibero-Americana (à paraître). Zbl0753.42014
  8. [8] P.G. Lemarie-Rieusset, Analyses multi-résolutions non orthogonales et ondelettes vecteurs à divergence nulle, Paris-XI, preprint, 1991. MR1126382
  9. [9] P.G. Lemarie et Y. Meyer, Ondelettes et bases hilbertiennes, Rev. Mat. Ibero-Americana, vol. 2, 1986, p. 1-18. Zbl0657.42028MR864650
  10. [10] G. Malgouyres, Communication personnelle. 
  11. [11] G. Malgouyres, Analyse multi-résolution sur l'intervalle. Algorithmes rapides. Paris-XI, preprint, 1991. 
  12. [12] S. Mallat, Multiresolution approximations and wavelet bases of L2(R), Trans. Amer. Math. Soc., vol. 315, 1989, p. 69-87. Zbl0686.42018MR1008470
  13. [13] Y. Meyer, Ondelettes sur l'intervalle, Paris-XI, preprint, 1990. MR1096365

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