Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
Analogues of some Tauberian theorems for stretchings.
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.
Banach algebra techniques in the theory of arithmetic functions
For infinite discrete additive semigroups we study normed algebras of arithmetic functions endowed with the linear operations and the convolution. In particular, we investigate the problem of scaling the mean deviation of related multiplicative functions for . This involves an extension of Banach algebras of arithmetic functions by introducing weight functions and proving a weighted inversion theorem of Wiener type in the frame of Gelfand’s theory of commutative Banach algebras.
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.