Nous étudons sur des exemples significatifs l’intersection entre le traitement du signal et l’analyse fonctionnelle.
The interaction between signal processing and functional analysis is discussed on some relevant examples.
@article{AIF_2000__50_2_593_0, author = {Meyer, Yves}, title = {Le traitement du signal et l'analyse math\'ematique}, journal = {Annales de l'Institut Fourier}, pages = {593--632}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {2}, year = {2000}, doi = {10.5802/aif.1766}, zbl = {0986.42016}, mrnumber = {2001m:94013}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1766/} }
TY - JOUR AU - Meyer, Yves TI - Le traitement du signal et l'analyse mathématique JO - Annales de l'Institut Fourier PY - 2000 SP - 593 EP - 632 VL - 50 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1766/ DO - 10.5802/aif.1766 LA - fr ID - AIF_2000__50_2_593_0 ER -
%0 Journal Article %A Meyer, Yves %T Le traitement du signal et l'analyse mathématique %J Annales de l'Institut Fourier %D 2000 %P 593-632 %V 50 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1766/ %R 10.5802/aif.1766 %G fr %F AIF_2000__50_2_593_0
Meyer, Yves. Le traitement du signal et l'analyse mathématique. Annales de l'Institut Fourier, Tome 50 (2000) no. 2, pp. 593-632. doi : 10.5802/aif.1766. https://aif.centre-mersenne.org/articles/10.5802/aif.1766/
[1] Wavelets and multiscale signal processing., Appl. Math & Math. Comp., Chapman & Hall ed., 11 (1995). | MR | Zbl
, ,[2] Ten lectures on wavelets, SIAM, Philadelphia, 1992. | MR | Zbl
,[3] A wavelet tour of signal processing, Academic Press, 1988. | Zbl
,[4] Wavelets and subband coding, Prentice Hall PTR, Englewood Cliffs, NJ 07632, 1995. | Zbl
, ,[5] Wavelets and operators, Vol. 1,2 and 3, Cambridge University Press, 1992. | Zbl
,[6] Sampling, data transmission and the Nyquist rate, Proceedings of the IEEE, vol. 55, 10 (1967).
,[7] 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. | MR | Zbl
,[8] Pointwise analysis of Riemann's ‘non differentiable’ function, Inventiones Mathematicae, 105 (1991), 157-176. | EuDML | Zbl
, ,[9] Differentiability of Riemann's function, Proc. Japan Acad., Ser. A. Math. Sci, 57, vol. 10 (1981), 492-495. | MR | Zbl
,[10] The spectrum of singularities of the Riemann's function, Rev. Math. Iberoamericana, 12 (1996), 441-490. | MR | Zbl
,[11] Wavelets methods for pointwise regularity and local oscillations of functions, Memoirs of the AMS, 123 (1996). | Zbl
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