This article is cited in 4 scientific papers (total in 5 papers)
An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems
V. I. Buslaev, A. G. Vitushkin
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.
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Mathematics of the USSR-Izvestiya, 1974, 8:4, 867–894
MSC: 94A10, 41A45
V. I. Buslaev, A. G. Vitushkin, “An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems”, Izv. Akad. Nauk SSSR Ser. Mat., 38:4 (1974), 867–895; Math. USSR-Izv., 8:4 (1974), 867–894
Citation in format AMSBIB
\by V.~I.~Buslaev, A.~G.~Vitushkin
\paper An estimate of the code length of signals with a~finite spectrum in connection with sound-recording problems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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V. I. Buslaev, “An inequality for the derivative of a polynomial with real coefficients”, Math. USSR-Izv., 9:2 (1975), 390–394
V. V. Zmushko, “The entropy of a class of entire functions in a frequency dependent metric”, Math. USSR-Izv., 10:5 (1976), 1119–1132
L. A. Balashov, Yu. A. Dreizin, M. S. Mel'nikov, “Approximations of the exponential function and relative closeness of stable signals”, Math. USSR-Sb., 74:2 (1993), 291–307
V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 183–190
A. G. Vitushkin, “On Hilbert's thirteenth problem and related questions”, Russian Math. Surveys, 59:1 (2004), 11–25
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