Sur le théorème de division de Weierstrass
Jacques Chaumat; Anne-Marie Chollet
Studia Mathematica (1995)
- Volume: 116, Issue: 1, page 59-84
- ISSN: 0039-3223
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topChaumat, Jacques, and Chollet, Anne-Marie. "Sur le théorème de division de Weierstrass." Studia Mathematica 116.1 (1995): 59-84. <http://eudml.org/doc/216220>.
@article{Chaumat1995,
author = {Chaumat, Jacques, Chollet, Anne-Marie},
journal = {Studia Mathematica},
keywords = {division; Weierstrass; Whitney jets; non-quasi-analytic; Whitney jets; -algebra; Weierstrass-Malgrange division theorem; Gevrey classes},
language = {fre},
number = {1},
pages = {59-84},
title = {Sur le théorème de division de Weierstrass},
url = {http://eudml.org/doc/216220},
volume = {116},
year = {1995},
}
TY - JOUR
AU - Chaumat, Jacques
AU - Chollet, Anne-Marie
TI - Sur le théorème de division de Weierstrass
JO - Studia Mathematica
PY - 1995
VL - 116
IS - 1
SP - 59
EP - 84
LA - fre
KW - division; Weierstrass; Whitney jets; non-quasi-analytic; Whitney jets; -algebra; Weierstrass-Malgrange division theorem; Gevrey classes
UR - http://eudml.org/doc/216220
ER -
References
top- [1] S. Bell and D. Catlin, Proper holomorphic mappings extend smoothly to the boundary, Bull. Amer. Math. Soc. 7 (1982), 269-272. Zbl0491.32018
- [2] S. Bell and D. Catlin, Boundary regularity of proper holomorphic mappings, Duke Math. J. 49 (1982), 385-396. Zbl0475.32011
- [3] M. D. Bronshteĭn, Division with remainder in spaces of smooth functions, Trans. Moscow Math. Soc. 52 (1990), 109-138.
- [4] J. Bruna, An extension theorem of Whitney type for non-quasianalytic classes of functions, J. London Math. Soc. (2) 22 (1980), 495-505. Zbl0419.26010
- [5] J. Chaumat et A. M. Chollet, Noyaux pour résoudre l’équation ∂̅ dans des classes ultradifférentiables sur des compacts irréguliers de , dans : Several Complex Variables, Proc. Mittag-Leffler Inst. 1987-88, Math. Notes 38, Princeton University Press, 1993, 205-226. Zbl0777.32009
- [6] J. Chaumat et A. M. Chollet, Représentations intégrales de jets de Whitney, dans : The Madison Symposium on Complex Analysis, Contemp. Math. 137, Amer. Math. Soc., 1992, 133-153. Zbl0768.32001
- [7] J. Chaumat et A. M. Chollet, Théorème de Whitney dans des classes ultradifférentiables, Publ. I.R.M.A. Lille, 1992. Zbl0762.26014
- [8] K. Diederich and J. E. Fornæss, Boundary regularity of proper holomorphic mappings, Invent. Math. 67 (1982), 363-384. Zbl0501.32010
- [9] E. M. Dynkin, Pseudoanalytic extension of smooth functions. The uniform scale, Amer. Math. Soc. Transl. 115 (1980), 33-58.
- [10] L. Hörmander, The Analysis of Linear Partial Differential Operators I, 2ème éd. Springer, 1989.
- [11] B. Malgrange, Ideals of Differentiable Functions, Oxford University Press, 1966. Zbl0177.17902
- [12] W. Pleśniak, Extension and polynomial approximation of ultradifferentiable functions in , Bull. Soc. Roy. Sci. Liège 63 (1994), 393-402. Zbl0816.26009
- [13] V. Thilliez, Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de , Ann. Polon. Math., à paraître.
- [14] J. C. Tougeron, Idéaux de fonctions différentiables, Springer, 1972. Zbl0251.58001
- [15] Proceedings of Liverpool Singularities Symposium I, Lecture Notes in Math. 192, Springer, 1971.
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