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Moyennes des fonctions sous-analytiques, densite, cone tangent et tranches

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1420)

Keywords

  • Cone Tangent
  • Geometric Measure Theory
  • Lelong Number
  • Nous Renvoyons
  • Voisinage Ouvert

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Bibliographie

  1. E. BIERSTONE, P. MILMAN. Semi-analytic and sub-analytic sets. Publication IHES, no67 (1988) 5–42.

    Google Scholar 

  2. J.P. DEMAILLY. Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. Acta Math. 159 (1987) 153–169.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Z. DENKOWSKA, S. LOJASIEWICZ, J. STASICA. Sur le théorème du complémentaire pour les ensembles sous-analytiques. Bull. Acad. Sci., Pol. XXVII, no7–8 (1979) 537–539

    Google Scholar 

  4. Z. DENKOWSKA, S. LOJASIEWICZ, J. STASICA. Certaines propriétés élémentaires des ensembles sous-analytiques. Ibid 529–536.

    Google Scholar 

  5. Z. DENKOWSKA, K. WACHTA. Sur la sous-analyticité de l'application tangente. Bull. Acad. Sci. Pol. XXX, no7–8 (1982) 329–331.

    Google Scholar 

  6. H. FEDERER. Geometric measure theory. Springer-Verlag, New-York (1969).

    MATH  Google Scholar 

  7. A.M. GABRIELOV. Projections of semi-analytic sets. Funct. Ana. Appl. 2 (1968) 282–291.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. H. HIRONAKA. Sub-analytic sets, Number Theory, Algebraic Geometry and Commutative Algebra. Kinokuniya, Tokyo (1973) 453–493.

    Google Scholar 

  9. K. KURDYKA. Points réguliers d'un sous-analytique. Annales de l'Institut Fourier no38 (1988).

    Google Scholar 

  10. P. LELONG. Intégration sur un ensemble analytique complexe. Bull. Soc. Math. France 85 (1957) 239–262.

    MathSciNet  MATH  Google Scholar 

  11. W. PAWLUCKI. Quasi-regular boundary and Stokes formula for a sub-analytic leaf. Lecture Notes in Math. no1165.

    Google Scholar 

  12. W. PAWLUCKI. Le théorème de Puiseux pour une application sous-analytique. Bull. Pol. Acad. Sci. (Math), Vol. 32, no9–10 (1984) 555–560.

    MathSciNet  MATH  Google Scholar 

  13. J.B. POLY. Formile des résidus et intersection des chaînes sous-analytiques. Thèse, Poitiers (1974).

    Google Scholar 

  14. K. KURDYKA, G. RABY. Densité et cône tangent à un sous-analytique. C.R. Acad. Sci. Paris, 307 (1988) 23–25.

    MathSciNet  MATH  Google Scholar 

  15. J. STASICA. Whitney property of sub-analytic sets. Zeszyty Naukowe UJ, Prace Mat. Zesz 23 DCXXIII (1982) 211–221.

    Google Scholar 

  16. M. TAMM. Sub-analytic sets in the calculus of variations. Acta Math. 146 (1981) 167–199.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. P. THIE. The Lelong number of a point of a complex analytic set. Math. Annalen 172 (1967) 269–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. J.L. VERDIER. Stratifications de Whitney et théorème de Bertini-Sard. Inventiones Math. 36 (1976) 295–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. H. WHITNEY. Tangents to analytic variety. Ann. Math. (2), 81 (1965) 496–549.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1990 Springer-Verlag

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Kurdyka, K., Poly, J.B., Raby, G. (1990). Moyennes des fonctions sous-analytiques, densite, cone tangent et tranches. In: Galbiati, M., Tognoli, A. (eds) Real Analytic and Algebraic Geometry. Lecture Notes in Mathematics, vol 1420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083918

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  • DOI: https://doi.org/10.1007/BFb0083918

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52313-0

  • Online ISBN: 978-3-540-46952-0

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