A complex Tauberian theorem and mean ergodic semigroups.
A complex-variable proof of the Wiener tauberian theorem
The fundamental semigroup of the heat equation for the real line has an analytic extension to the right-hand open half plane which satisfies for Re. Using the Ahlfors-Heins theorem for bounded analytic functions on a half-plane we show that the Wiener tauberian theorem for follows from the above inequality.
A convolution relation with remainder estimate.
A Generalization of Tauber's Theorem and Some Tauberian Constants (IV).
A quantified Tauberian theorem for sequences
The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary function, with the quality of the estimate depending on the degree of smoothness this boundary function is assumed to possess. The result is then used to give a new proof of the quantified Katznelson-Tzafriri theorem recently obtained by the author...
A refined Tauberian Theorem for Laplace transforms in dimension d>1.
A Tauberian Remainder Theorem with Applications to Lambert Summability.
A Tauberian theorem for Abelian summability methods.
A Tauberian theorem for Borel-type methods of summability.
A tauberian theorem for Cesàro summability
A Tauberian theorem for distributions
The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
A Tauberian theorem for series of orthogonal rational functions.
A Tauberian theorem for subsequences of functions
A Tauberian theorem with a generalized one-sided condition.
A Weighted Tauberian Theorem.
Absolute summability factors and absolute Tauberian theorems for double series and sequences.
Admissible functions for cones and asumptotics of infinitely divisible distributions.
An application of Banach algebra techniques for multiplicative functions.
Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
Analogues of some Tauberian theorems for stretchings.