Extension Gevrey et rigidité dans un secteur

Vincent Thilliez

Studia Mathematica (1995)

  • Volume: 117, Issue: 1, page 29-41
  • ISSN: 0039-3223

Abstract

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We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector. For this purpose, we prove a linear continuous version of Borel-Ritt's theorem with Gevrey conditions

How to cite

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Thilliez, Vincent. "Extension Gevrey et rigidité dans un secteur." Studia Mathematica 117.1 (1995): 29-41. <http://eudml.org/doc/216239>.

@article{Thilliez1995,
author = {Thilliez, Vincent},
journal = {Studia Mathematica},
keywords = {Gevrey classes; continuous extension operators; sequences of uniqueness; rigidity},
language = {fre},
number = {1},
pages = {29-41},
title = {Extension Gevrey et rigidité dans un secteur},
url = {http://eudml.org/doc/216239},
volume = {117},
year = {1995},
}

TY - JOUR
AU - Thilliez, Vincent
TI - Extension Gevrey et rigidité dans un secteur
JO - Studia Mathematica
PY - 1995
VL - 117
IS - 1
SP - 29
EP - 41
LA - fre
KW - Gevrey classes; continuous extension operators; sequences of uniqueness; rigidity
UR - http://eudml.org/doc/216239
ER -

References

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  2. [CC1] J. Chaumat et A. M. Chollet, Théorème de Whitney dans des classes ultradifférentiables, C. R. Acad. Sci. Paris 315 (1992), 901-906. 
  3. [CC2] J. Chaumat et A. M. Chollet, Classes de Gevrey non isotropes et application à l'interpolation, Ann. Scuola Norm. Sup. Pisa 15 (1988), 615-676. Zbl0689.32009
  4. [CC3] J. Chaumat et A. M. Chollet, Théorème de Whitney dans des classes ultradifférentiables, Publ. IRMA, Lille 28 (1992), no. VIII. Zbl0762.26014
  5. [Ma] J. A. Marti, Sur la rigidité comparée de fonctions, distributions ou hyperfonctions analytiques par rapport à un groupe de variables, Pacific J. Math. 150 (1991), 359-382. Zbl0693.32002
  6. [P] H. J. Petzsche, On E. Borel's theorem, Math. Ann. 282 (1988), 299-313. Zbl0633.46033
  7. [Ra1] J. P. Ramis, Dévissage Gevrey, Astérisque 59-60 (1978), 173-204. 
  8. [Ra2] J. P. Ramis, Divergent series and holomorphic dynamical systems, preprint, 1993. 

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