Le traitement du signal et l'analyse mathématique

Yves Meyer

Annales de l'institut Fourier (2000)

  • Volume: 50, Issue: 2, page 593-632
  • ISSN: 0373-0956

Abstract

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The interaction between signal processing and functional analysis is discussed on some relevant examples.

How to cite

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Meyer, Yves. "Le traitement du signal et l'analyse mathématique." Annales de l'institut Fourier 50.2 (2000): 593-632. <http://eudml.org/doc/75430>.

@article{Meyer2000,
abstract = {Nous étudons sur des exemples significatifs l’intersection entre le traitement du signal et l’analyse fonctionnelle.},
author = {Meyer, Yves},
journal = {Annales de l'institut Fourier},
keywords = {wavelet; time-frequency atom; Fourier analysis; chirp; Riesz basis},
language = {fre},
number = {2},
pages = {593-632},
publisher = {Association des Annales de l'Institut Fourier},
title = {Le traitement du signal et l'analyse mathématique},
url = {http://eudml.org/doc/75430},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Meyer, Yves
TI - Le traitement du signal et l'analyse mathématique
JO - Annales de l'institut Fourier
PY - 2000
PB - Association des Annales de l'Institut Fourier
VL - 50
IS - 2
SP - 593
EP - 632
AB - Nous étudons sur des exemples significatifs l’intersection entre le traitement du signal et l’analyse fonctionnelle.
LA - fre
KW - wavelet; time-frequency atom; Fourier analysis; chirp; Riesz basis
UR - http://eudml.org/doc/75430
ER -

References

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  2. [2] I. DAUBECHIES, Ten lectures on wavelets, SIAM, Philadelphia, 1992. Zbl0776.42018MR93e:42045
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  5. [5] Y. MEYER, Wavelets and operators, Vol. 1,2 and 3, Cambridge University Press, 1992. Zbl0776.42019
  6. [6] H.J. LANDAU, Sampling, data transmission and the Nyquist rate, Proceedings of the IEEE, vol. 55, 10 (1967). 
  7. [7] J. GERVER, The differentiability of the Riemann's function at certain rational multiples of π, Amer. J. Math., 92 (1970), 33-35 et 93 (1971), 33-41. Zbl0203.05904MR42 #434
  8. [8] M. HOLSCHNEIDER, Ph. TCHAMITCHIAN, Pointwise analysis of Riemann's ‘non differentiable’ function, Inventiones Mathematicae, 105 (1991), 157-176. Zbl0741.26004
  9. [9] S. ITATSU, Differentiability of Riemann's function, Proc. Japan Acad., Ser. A. Math. Sci, 57, vol. 10 (1981), 492-495. Zbl0501.26004MR83e:42006
  10. [10] S. JAFFARD, The spectrum of singularities of the Riemann's function, Rev. Math. Iberoamericana, 12 (1996), 441-490. Zbl0889.26005MR97g:26006
  11. [11] S. JAFFARD, Y. MEYER, Wavelets methods for pointwise regularity and local oscillations of functions, Memoirs of the AMS, 123 (1996). Zbl0873.42019

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