Abstract: The goal of this talk is to introduce the notion of asymptotic expansions and Borel k-summability in the case of one variable. We will explore the main tools in this theory including Ramis-Sibuya theorem and the use of Borel and Laplace integral operators to compute sums. An application of summability of formal power series solutions of analytic ODEs of first order at irregular singular points will be given.
Spaces of asymptotically developable functions I. The case of one variable
05.10.2017 13:45 - 15:15
Organiser:
A. Rainer
Location: