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Dirichlet kernel ist not good. (El núcleo de Dirichlet no es bueno.) (Spanish) Zbl 07903155

MSC:

42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
Full Text: DOI

References:

[1] U. Bottazzini, The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass, Springer-Verlag, 1986, traducido por W. V. Egmond. · Zbl 0597.01011
[2] L. Carleson, ((On convergence and growth of partial sums of Fourier series)), Acta Math., 1966, 135-157, https://doi.org/10.1007/BF02392815. · Zbl 0144.06402 · doi:10.1007/BF02392815
[3] J. P. Kahane y P. G. Lemarié-Rieusset, Fourier Series and Wavelets, Gordon and Breach Publishers, 1995.
[4] Y. Katznelson, An Introduction to Harmonic Analysis, 1. a ed., Dover Publications, 1976, John Wiley & Sons, 1968. Tercera edición corregida, Cambridge University Press 2004, https://doi.org/10.1017/CBO9781139165372. · Zbl 0169.17902 · doi:10.1017/CBO9781139165372
[5] T. W. Körner, Fourier Analysis, 1. a ed., Cambridge University Press, 1990, Cambridge University Press 1988. Primera edición de tapa blanda 1989, reimpresa en 1990. https: //doi.org/10.1017/CBO9781107049949. · Zbl 0649.42001 · doi:10.1017/CBO9781107049949
[6] E. M. Stein y R. Shakarchi, Princeton Lectures in Analysis I: Fourier Analysis, An Introduction, Princeton University Press, 2003. · Zbl 1026.42001
[7] A. Zygmund, Trigonometric Series, 2. a ed., Cambridge University Press, 1959, Primera edición de tapa blanda 1988, reimpresa en 1990. Tercera edición 2003. https://doi.org/ 10.1017/CBO9781316036587. · doi:10.1017/CBO9781316036587
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