# A new Taylor type formula and ${C}^{\infty}$ extensions for asymptotically developable functions

Studia Mathematica (1997)

- Volume: 123, Issue: 2, page 151-163
- ISSN: 0039-3223

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topZurro, M.. "A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions." Studia Mathematica 123.2 (1997): 151-163. <http://eudml.org/doc/216384>.

@article{Zurro1997,

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.},

author = {Zurro, M.},

journal = {Studia Mathematica},

keywords = {Taylor formula; asymptotically developable function; extension; Gevrey function},

language = {eng},

number = {2},

pages = {151-163},

title = {A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions},

url = {http://eudml.org/doc/216384},

volume = {123},

year = {1997},

}

TY - JOUR

AU - Zurro, M.

TI - A new Taylor type formula and $C^∞$ extensions for asymptotically developable functions

JO - Studia Mathematica

PY - 1997

VL - 123

IS - 2

SP - 151

EP - 163

AB - 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.

LA - eng

KW - Taylor formula; asymptotically developable function; extension; Gevrey function

UR - http://eudml.org/doc/216384

ER -

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