Analytic semigroups in Banach algebras and a theorem of Hille
Approximation by Abel means and Tauberian Theorems in sequences spaces
Approximation on the semi-infinite interval.
Arithmetical Tauberian theorems
Asymptotic behaviour of Fourier transforms in .
Asymptotic Behaviour of Fourier Transforms in Rn
Asymptotics of a generalized matrix renewal function.
Contributions to local and microlocal analysis, an overwiew
Correction to "A Generalization of Tauber's Theorem and Some Tauberian Constants (IV)".
Das Wachstumsverhalten ganzer Funktionen unter Voraussetzungen über ihre Laplace-Transformierte.
Distributional versions of Littlewood's Tauberian theorem
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 from Abel...
Ein Tauber-Satz mit Restglied für die Laplace-Transformation.
Elementary Tauberian Theorems For Regular Linear Operators
Elementary Tauberian theorems for regular linear operators.
Esterlè's proof of the tauberian theorem for Beurling algebras
Recently in this Journal J. Esterlé gave a new proof of the Wiener Tauberian theorem for using the Ahlfors-Heins theorem for bounded analytic functions on a half-plane. We here use essentially the same method to prove the analogous result for Beurling algebras . Our estimates need a theorem of Hayman and Korenblum.
General Nörlund transforms and power series methods.
General Tauberian Remainder Theorems.
General Tauberian theorems in R... connected with a theorem of Korenblum.
Ingham Tauberian theorem with an estimate for the error term.
Integral transformations and closed form expressions for sums of double infinite series