Tatjana Ostrogorski.
Tauberian theorems for Abel limitability method
This paper addresses conditions for the Abel method of limitability to imply convergence and subsequential convergence.
The Difference Between the Product and the Convolution Product of Distribution Functions in
The strong asymptotic equivalence and the generalized inverse.
The structure of quasiasymptotics of Schwartz distributions
In this article complete characterizations of the quasiasymptotic behavior of Schwartz distributions are presented by means of structural theorems. The cases at infinity and the origin are both analyzed. Special attention is paid to quasiasymptotics of degree -1. It is shown how the structural theorem can be used to study Cesàro and Abel summability of trigonometric series and integrals. Further properties of quasiasymptotics at infinity are discussed. A condition for test functions in bigger spaces...
Théorème général concernant la grandeur relative des infinis des fonctions et de leurs dérivées.
Theory of rapid variation on time scales with applications to dynamic equations
In the first part of this paper we establish the theory of rapid variation on time scales, which corresponds to existing theory from continuous and discrete cases. We introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. In the second part of this paper, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying. Note...
Third Order Extended Regular Variation
Two Propositions On Slowly Varying Functions