Geodesic
Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial
Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 107-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{ZNSL_1976_61_a10,
     author = {N. A. Sapogov},
     title = {Stability for the {Marcinkiewicz} theorem. {Case} of a fourth-degree polynomial},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {107--124},
     year = {1976},
     volume = {61},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a10/}
}
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N. A. Sapogov. Stability for the Marcinkiewicz theorem. Case of a fourth-degree polynomial. Zapiski Nauchnykh Seminarov POMI, Continuity and stability in the problems of probability theory and mathematical statistics, Tome 61 (1976), pp. 107-124. http://geodesic.mathdoc.fr/item/ZNSL_1976_61_a10/