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Towards the Keldysh Tauberian Theorem
Authors:A. F. Grishin  I. V. Poedintseva
Affiliation:(1) Kharkov National University, Kharkov, Ukraine
Abstract:New versions of the Tauberian theorem of Keldysh are proved. We give examples to show the sharpness of the conditions of these theorems. Among auxiliary results, new cases of inversion of the de l'Hospital rule are obtained. Bibliography: 14 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 315, 2004, pp. 63–89.
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