On The Behaviour Of Distributions At Infinity, Wiener-Tauberian Type Results

Stevan Pilipović

Displaying similar documents to “On The Behaviour Of Distributions At Infinity, Wiener-Tauberian Type Results”

Asymptotic behaviour of Fourier transforms in $ℝ^{n}$ .

Ostrogorski, Tatjana (1984)

Publications de l'Institut Mathématique. Nouvelle Série

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Distributional versions of Littlewood's Tauberian theorem

Ricardo Estrada, Jasson Vindas (2013)

Czechoslovak Mathematical Journal

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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...