Projection of analytic sets and Bernstein inequalities

Jean-Pierre Françoise; Y. Yomdin

Banach Center Publications (1998)

  • Volume: 44, Issue: 1, page 103-108
  • ISSN: 0137-6934

How to cite


Françoise, Jean-Pierre, and Yomdin, Y.. "Projection of analytic sets and Bernstein inequalities." Banach Center Publications 44.1 (1998): 103-108. <>.

author = {Françoise, Jean-Pierre, Yomdin, Y.},
journal = {Banach Center Publications},
keywords = {Bernstein class},
language = {eng},
number = {1},
pages = {103-108},
title = {Projection of analytic sets and Bernstein inequalities},
url = {},
volume = {44},
year = {1998},

AU - Françoise, Jean-Pierre
AU - Yomdin, Y.
TI - Projection of analytic sets and Bernstein inequalities
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 103
EP - 108
LA - eng
KW - Bernstein class
UR -
ER -


  1. [B] N. N. Bautin, On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type, Mat. Sbornik 30 (1952), 181-196 (in Russian). Zbl0059.08201
  2. [Br] J. Briançon, Weierstrass préparé à la Hironaka, Astérisque, 7-8 (1973), 67-73. 
  3. [Bu] B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aequationes Math. 4 (1970), 374-383. Zbl0212.06401
  4. [F-Y] J.-P. Françoise, Y. Yomdin, Bernstein inequality and applications to differential equations and analytic geometry, J. Funct. Anal. 146 (1997), 185-205. Zbl0869.34008
  5. [Ga] A. Galligo, Sur le théorème de préparation de Weierstrass, Astérisque 7-8 (1973), 165-169. 
  6. [Ha] W. K. Hayman, Differential inequalities and local valency, Pacific J. Math. 44 (1973), 117-137. Zbl0248.30026
  7. [H] H. Hironaka, Characteristic polyhedra of singularities, J. Math. Kyoto Univ. 7 (1967), 251-293. Zbl0159.50502
  8. [Ł] S. Łojasiewicz, Ensembles semi-analytiques, Inst. de Hautes Études Scientifiques, Bures-sur-Yvette, 1965. 
  9. [Ł-T-Z] S. Łojasiewicz, J. C. Tougeron, M. A. Zurro, Éclatement des coefficients des séries entières et deux théorèmes de Gabrielov, Manuscripta Math. 92 (1997), 325-337. Zbl0882.32006
  10. [M] G. Maltsiniotis, Privilège numérique uniforme, Astérisque 194-195 (1991). 
  11. [R-Y] N. Roytvarf, Y. Yomdin, Bernstein classes, to appear. 
  12. [W] M. Waldschmidt, Nombres transcendants, Lecture Notes in Math. 402, Springer, Berlin, 1974. Zbl0302.10030

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.