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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 4, Pages 867–894
DOI: https://doi.org/10.1070/IM1974v008n04ABEH002130 (Mi im1993) 		 
This article is cited in 5 scientific papers (total in 6 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
English version PDF (932 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/IM1974v008n04ABEH002130
Abstract: 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.
Received: 04.04.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 4, Pages 867–895
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 94A10, 41A45
Language: English
Original paper language: Russian
Citation: 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
\Bibitem{BusVit74}
\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.
\yr 1974
\vol 38
\issue 4
\pages 867--895
\mathnet{http://mi.mathnet.ru/im1993}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358167}
\zmath{https://zbmath.org/?q=an:0328.94013}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 4
\pages 867--894
\crossref{https://doi.org/10.1070/IM1974v008n04ABEH002130}
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  • https://www.mathnet.ru/eng/im/v38/i4/p867
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:326
    Russian version PDF:118
    English version PDF:7
    References:59
    First page:2
     
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