A necessary and sufficient condition for the existence of a father wavelet

Gustaf Gripenberg

Studia Mathematica (1995)

  • Volume: 114, Issue: 3, page 207-226
  • ISSN: 0039-3223

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Gripenberg, Gustaf. "A necessary and sufficient condition for the existence of a father wavelet." Studia Mathematica 114.3 (1995): 207-226. <http://eudml.org/doc/216188>.

@article{Gripenberg1995,
abstract = {},
author = {Gripenberg, Gustaf},
journal = {Studia Mathematica},
keywords = {wavelet; multiresolution; existence; wavelets; multiresolution analysis},
language = {eng},
number = {3},
pages = {207-226},
title = {A necessary and sufficient condition for the existence of a father wavelet},
url = {http://eudml.org/doc/216188},
volume = {114},
year = {1995},
}

TY - JOUR
AU - Gripenberg, Gustaf
TI - A necessary and sufficient condition for the existence of a father wavelet
JO - Studia Mathematica
PY - 1995
VL - 114
IS - 3
SP - 207
EP - 226
AB -
LA - eng
KW - wavelet; multiresolution; existence; wavelets; multiresolution analysis
UR - http://eudml.org/doc/216188
ER -

References

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  1. [1] P. Auscher, Toute base d’ondelettes régulières de 2 ( ℝ ) est issue d’une analyse multi-résolution régulière, C. R. Acad. Sci. Paris Sér. I 315 (1992), 1227-1230. Zbl0778.42025
  2. [2] A. Beurling, Mittag-Leffler lectures on complex analysis (1977-1978), in: Collected Works of Arne Beurling, L. Carleson, P. Malliavin, J. Neuberger and J. Wermer (eds.), Vol. 1, Birkhäuser, Boston, 1989, 361-443. 
  3. [3] A. Cohen, Ondelettes, analyses multirésolutions et filtres miroirs en quadrature, Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), 439-459. Zbl0736.42021
  4. [4] I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996. Zbl0644.42026
  5. [5] I. Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory 36 (1990), 961-1005. Zbl0738.94004
  6. [6] I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992. 
  7. [7] P.-G. Lemarié, Ondelettes à localisation exponentielle, J. Math. Pures Appl. 67 (1988), 227-236. 
  8. [8] P.-G. Lemarié, Analyse multi-échelles et ondelettes à support compact, in: Les Ondelettes en 1989, P.-G. Lemarié (ed.), Lecture Notes in Math. 1438, Springer, Berlin, 1990, 26-38. 
  9. [9] P.-G. Lemarié, Existence de "fonction-père" pour les ondelettes à support compact, C. R. Acad. Sci Paris Sér. I 314 (1992), 17-19. Zbl0752.42017
  10. [10] P.-G. Lemarié, Sur l'existence des analyses multi-résolution en théorie des ondelettes, Rev. Mat. Iberoamericana, to appear. Zbl0779.42019
  11. [11] S. G. Mallat, Multiresolution approximations and wavelet orthonormal bases of L 2 ( ℝ ) , Trans. Amer. Math. Soc. 315 (1989), 69-87. 
  12. [12] Y. Meyer, Ondelettes et opérateurs I, Hermann, Paris, 1990. Zbl0694.41037

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