Geodesic
An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems
Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 867-894 
V. I. Buslaev; A. G. Vitushkin. An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems. Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 867-894. http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the article an estimate is given of the entropy of the Bernstein class $B_\sigma$. This class consists, by definition, of the real-valued functions of a single real variable that are bounded in absolute value on the real line by unity and such that the supports of their Fourier transforms are contained in the interval $[-\sigma,\sigma]$. The meaning of the estimates will be discussed in connection with sound-recording problems.

[1] Kolmogorov A. N., Tikhomirov V. M., “$\varepsilon$-entropiya, $\varepsilon$-emkost mnozhestv v funktsionalnykh prostranstvakh”, Uspekhi matem. nauk, 14:2 (1959), 3–86 | MR

[2] Levin B. Ya., Tselye funktsii, kurs lektsii, In-t mekhaniki MGU, M., 1971

[3] Bernshtein S. N., Sobr. soch., t. 2, AN SSSR, M., 1952, str. 443

[4] Bernshtein S. N., Sobr. soch., t. 1, AN SSSR, M., 1952, str. 21