Some generalisations on a scale of Abel type summability methods
Some Tauberian theorems for Euler and Borel summability.
Some Tauberian theorems on summability methods of integrals
Sommation effective d’une somme de Borel par séries de factorielles
Nous abordons dans cet article la question de la sommation effective d’une somme de Borel d’une série par la série de factorielles associée. Notre approche fournit un contrôle de l’erreur entre la somme de Borel recherchée et les sommes partielles de la série de factorielles. Nous généralisons ensuite cette méthode au cadre des séries de puissances fractionnaires, après avoir démontré un analogue d’un théorème de Nevanlinna de sommation de Borel fine pour ce cadre.
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 laws and summability for sequences of -mixing random variables in Banach spaces.
Tauberian Relations between the Abel-Type and the Borel-Type Methods of Summability.
Tauberian remainder theorems for the Borel methods.
Tauberian theorems for Abel limitability method
This paper addresses conditions for the Abel method of limitability to imply convergence and subsequential convergence.
The Abel-type transformtions into .
The Lebesgue Constants for Borel Summation of Laplace Series.
Theorie und Anwendung der unendlichen Reihen [Book]
Über die Summierbarkeit von Dirichletreihen mit multiplikativen Koeffizienten.
Universelle Approximation durch Riesz-Transformierte der geometrischen Reihe.
Борелевское суммирование n-кратных рядов и целые функции, ассоциированные с ними.
Вероятностное замечание об интерполяционной задаче Абеля-Гончарова
О приближении функций сингулярными интегралами в метрике Хаусдорфа
О суммировании методом Абеля n-кратных разложений
Об одном методе суммирования Бореля n-кратных степенных рядов
Радиальный индикатор в теории суммирования Бореля и некоторые применения