Geodesic
A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions
Studia Mathematica, Tome 123 (1997) no. 2, pp. 151-163 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     author = {M. A.  Zurro},
     title = {A new {Taylor} type formula and $C^\ensuremath{\infty}$ extensions for asymptotically developable functions},
     journal = {Studia Mathematica},
     pages = {151--163},
     year = {1997},
     volume = {123},
     number = {2},
     doi = {10.4064/sm-123-2-151-163},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-123-2-151-163/}
}
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M. A.  Zurro. A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions. Studia Mathematica, Tome 123 (1997) no. 2, pp. 151-163. doi: 10.4064/sm-123-2-151-163

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