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

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Françoise, Jean-Pierre, and Yomdin, Y.. "Projection of analytic sets and Bernstein inequalities." Banach Center Publications 44.1 (1998): 103-108. <http://eudml.org/doc/208870>.

@article{Françoise1998,
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 = {http://eudml.org/doc/208870},
volume = {44},
year = {1998},
}

TY - JOUR
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 - http://eudml.org/doc/208870
ER -

References

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  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

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