On a Tauberian theorem of Keldysh.
Grishin, A.F., Poedintseva, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “Ingham Tauberian theorem with an estimate for the error term.”
On a Tauberian theorem of Keldysh.
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We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We employ two types of Tauberian hypotheses; the first kind involves distributional boundedness, while the second type imposes a one-sided assumption on the Cesàro behavior of the distribution. We apply these Tauberian results to deduce a number of Tauberian theorems for power series and Stieltjes integrals where Cesàro summability follows...
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