A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions
Volume 123 / 1997
Studia Mathematica 123 (1997), 151-163
DOI: 10.4064/sm-123-2-151-163
Abstract
The paper studies the relation between asymptotically developable functions in several complex variables and their extensions as functions of real variables. A new Taylor type formula with integral remainder in several variables is an essential tool. We prove that strongly asymptotically developable functions defined on polysectors have $C^∞$ extensions from any subpolysector; the Gevrey case is included.
