Geodesic
Regularization of sequences in sense of E.\,M.~Dyn'kin
Ufa mathematical journal, Tome 7 (2015) no. 2, pp. 64-70

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We introduce the notion of strong regularization of positive sequences. We prove an existence criterion of regular in the sense of E. M. Dyn'kin non-quasi-analiticity minorant. The criterion is given in terms on the smallest concave majorant of the logarithm of its trace function. The proof is based on the properties of the Legendre transformation.
Keywords: regular sequences
Mots-clés : Carleman class, Legendre transform. 
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     author = {R. A. Gaisin},
     title = {Regularization of sequences in sense of {E.\,M.~Dyn'kin}},
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R. A. Gaisin. Regularization of sequences in sense of E.\,M.~Dyn'kin. Ufa mathematical journal, Tome 7 (2015) no. 2, pp. 64-70. http://geodesic.mathdoc.fr/item/UFA_2015_7_2_a4/