Statistically -multiplicative matrices and some inequalities
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...
Strong convergence.
Strong laws and summability for sequences of -mixing random variables in Banach spaces.
Summability Factors for Lower-Semi-Matrix Transformations.
Summability of double sequences by weighted mean methods and Tauberian conditions for convergence in Pringsheim's sense.
Summation of polyparametrical functional series by the method of finite hybrid integral transforms (Fourier, Bessel)
Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle
The main purpose of this article is to give a new method and new results on a very old topic: the comparison of the Riemann processes of summation (R,κ) with other summation processes. The motivation comes from the study of continuous unimodular functions on the circle, their Fourier series and their winding numbers. My oral presentation in Poznań at the JM-100 conference exposed the ways by which this study was developed since the fundamental work of Brézis and Nirenberg on the topological degree...
Summationsmethoden und Momentfolgen I.
Summationsmethoden und Momentfolgen II.