Le traitement du signal et l'analyse mathématique
Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 593-632.

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

Nous étudons sur des exemples significatifs l’intersection entre le traitement du signal et l’analyse fonctionnelle.

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Meyer, Yves. Le traitement du signal et l'analyse mathématique. Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 593-632. doi : 10.5802/aif.1766. http://www.numdam.org/articles/10.5802/aif.1766/

[1] A. Cohen, R. Ryan, Wavelets and multiscale signal processing., Appl. Math & Math. Comp., Chapman & Hall ed., 11 (1995). | MR | Zbl

[2] I. Daubechies, Ten lectures on wavelets, SIAM, Philadelphia, 1992. | MR | Zbl

[3] S. Mallat, A wavelet tour of signal processing, Academic Press, 1988. | Zbl

[4] M. Vetterli, J. Kovacevic, Wavelets and subband coding, Prentice Hall PTR, Englewood Cliffs, NJ 07632, 1995. | Zbl

[5] Y. Meyer, Wavelets and operators, Vol. 1,2 and 3, Cambridge University Press, 1992. | Zbl

[6] H.J. Landau, Sampling, data transmission and the Nyquist rate, Proceedings of the IEEE, vol. 55, 10 (1967).

[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. | MR | Zbl

[8] M. Holschneider, Ph. Tchamitchian, Pointwise analysis of Riemann's ‘non differentiable’ function, Inventiones Mathematicae, 105 (1991), 157-176. | EuDML | Zbl

[9] S. Itatsu, Differentiability of Riemann's function, Proc. Japan Acad., Ser. A. Math. Sci, 57, vol. 10 (1981), 492-495. | MR | Zbl

[10] S. Jaffard, The spectrum of singularities of the Riemann's function, Rev. Math. Iberoamericana, 12 (1996), 441-490. | MR | Zbl

[11] S. Jaffard, Y. Meyer, Wavelets methods for pointwise regularity and local oscillations of functions, Memoirs of the AMS, 123 (1996). | Zbl

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