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 extensions from any subpolysector; the Gevrey case is included.
@article{bwmeta1.element.bwnjournal-article-smv123i2p151bwm,
author = {M. Zurro},
title = {A new Taylor type formula and $C^$\infty$$ extensions for asymptotically developable functions},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {151-163},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv123i2p151bwm}
}
Zurro, M. A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions. Studia Mathematica, Tome 122 (1997) pp. 151-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i2p151bwm/
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