Préparation des fonctions sous-analytiques globales et lieu d'analyticité

Jean-Marie Lion

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 2, page 167-174
  • ISSN: 0066-2216

Abstract

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We give a new proof of Kurdyka-Tamm's theorem on the analytic locus of a subanalytic function.

How to cite

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Jean-Marie Lion. "Préparation des fonctions sous-analytiques globales et lieu d'analyticité." Annales Polonici Mathematici 69.2 (1998): 167-174. <http://eudml.org/doc/270545>.

@article{Jean1998,
author = {Jean-Marie Lion},
journal = {Annales Polonici Mathematici},
keywords = {density; subanalytic subsets; pfaffian subsets; preparation theorems; subanalytic sets; analytic locus; global subanalytic functions; Kurdyka-Tamm's theorem},
language = {fre},
number = {2},
pages = {167-174},
title = {Préparation des fonctions sous-analytiques globales et lieu d'analyticité},
url = {http://eudml.org/doc/270545},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Jean-Marie Lion
TI - Préparation des fonctions sous-analytiques globales et lieu d'analyticité
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 2
SP - 167
EP - 174
LA - fre
KW - density; subanalytic subsets; pfaffian subsets; preparation theorems; subanalytic sets; analytic locus; global subanalytic functions; Kurdyka-Tamm's theorem
UR - http://eudml.org/doc/270545
ER -

References

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  1. [BM] E. Bierstone et P. Milman, Semianalytic and subanalytic sets, Publ. IHES 67 (1988), 5-42. Zbl0674.32002
  2. [DM] L. van den Dries et C. Miller, Extending Tamm's theorem, Ann. Inst. Fourier (Grenoble) 44 (1994), 1367-1395. Zbl0816.32004
  3. [Ga] A. Gabrielov, Projections of semi-analytic sets, Functional Anal. Appl. 2 (1968), 282-291. Zbl0179.08503
  4. [Ku] K. Kurdyka, Points réguliers d'un sous-analytique, Ann. Inst. Fourier (Grenoble) 38 (1988), 133-156. Zbl0619.32007
  5. [LR] J.-M. Lion et J.-P. Rolin, Théorème de préparation pour les fonctions logarithmico-exponentielles, Ann. Inst. Fourier (Grenoble) 47 (1997), 859-884. Zbl0873.32004
  6. [Ło1] S. Łojasiewicz, Ensembles semi-analytiques, preprint I.H.E.S., 1965. 
  7. [Ło2] S. Łojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa (3) 18 (1964), 449-474. Zbl0128.17101
  8. [ŁTZ] S. Łojasiewicz, J.-C. Tougeron et M.-A. Zurro, Eclatements des coefficients des séries entières et deux théorèmes de Gabrielov, Manuscripta Math. 92 (1997), 325-337. Zbl0882.32006
  9. [Par] A. Parusiński, Lipschitz stratification of subanalytic sets, Ann. Ecole Norm. Sup. 27 (1994), 661-696. Zbl0819.32007
  10. [Paw] W. Pawłucki, Le théorème de Puiseux pour une application sous-analytique, Bull. Polish Acad. Sci. Math. 32 (1984), 555-559. Zbl0574.32010
  11. [Ta] M. Tamm, Subanalytic sets in the calculus of variation, Acta Math. 146 (1981), 167-199. Zbl0478.58010

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