Spaces of asymptotically developable functions II.

12.10.2017 13:45 - 15:15

Sergio Carrillo (Universität Wien)

Abstract: The aim of this talk is to continue the study of k-summability and its applications. As a main example we will study the Heat equation in the holomorphic setting and we will establish conditions on the initial condition to conclude summability properties of the solutions. In particular we show how to recover the Heat Kernel through the Stokes phenomenon for a suitable initial condition. We will also include an initial approach to asymptotic and summability in several variables.

A. Kriegl, P. Michor, A. Rainer

SR 10, 2. OG., OMP 1