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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 61, Pages 107–124 (Mi znsl2063)  
Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial

N. A. Sapogov
Full-text PDF (699 kB)
Abstract: A stability estimate is obtained for a special case of a theorem of Marcinkiewicz asserting that if $P_4(t)$ is a fourth-degree polynomial then $P_4(t)$ can be a characteristic function only if the degree of $P_4(t)$ is in fact not greater than 2.
English version:
Journal of Soviet Mathematics, 1981, Volume 16, Issue 5, Pages 1413–1424
DOI: https://doi.org/10.1007/BF01091635
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: N. A. Sapogov, “Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial”, Continuity and stability in the problems of probability theory and mathematical statistics, Zap. Nauchn. Sem. LOMI, 61, "Nauka", Leningrad. Otdel., Leningrad, 1976, 107–124; J. Soviet Math., 16:5 (1981), 1413–1424
Citation in format AMSBIB
\Bibitem{Sap76}
\by N.~A.~Sapogov
\paper Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial
\inbook Continuity and stability in the problems of probability theory and mathematical statistics
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 61
\pages 107--124
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2063}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=431340}
\zmath{https://zbmath.org/?q=an:0462.60024|0415.60020}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 5
\pages 1413--1424
\crossref{https://doi.org/10.1007/BF01091635}
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