Solutions de l'équation de Beltrami

G. David

Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987)

  • page 1-8

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David, G.. "Solutions de l'équation de Beltrami." Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987): 1-8. <http://eudml.org/doc/111930>.

@article{David1986-1987,
author = {David, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {quasiconformal map; Beltrami equation; holomorphic dynamics},
language = {fre},
pages = {1-8},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Solutions de l'équation de Beltrami},
url = {http://eudml.org/doc/111930},
year = {1986-1987},
}

TY - JOUR
AU - David, G.
TI - Solutions de l'équation de Beltrami
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1986-1987
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 8
LA - fre
KW - quasiconformal map; Beltrami equation; holomorphic dynamics
UR - http://eudml.org/doc/111930
ER -

References

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  1. [A] L. Ahlfors: Quasiconformal mappings, Teichmüller spaces, and Kleinian groups, Proceedings I.C.M. Helsinki 1978, Vol.1, 71-84. Zbl0436.30037MR562598
  2. [AE] L. Ahlfors: Lectures on quasiconformal mappings. Van Nostrand1966. Zbl0138.06002MR200442
  3. [B1] P. Blanchard: Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. (1984) N°1, 85-141. Zbl0558.58017MR741725
  4. [Br] H. Brolin: Invariant sets under iteration of rational functions, Arkiv för Matematik6 (1965) 103-144. Zbl0127.03401MR194595
  5. [Da] G. David: Solutions de l'équation de Beltrami avec ∥μ∥∞ = 1, preprint, Ecole Polytechnique, 1986. 
  6. [D] A. Douady: Chirurgie sur les fonctions holomorphes ? Proceedings ICMBerkeley1986, à paraître. Zbl0698.58048
  7. [DH1] A. Douady et J. Hubbard: Itération des polynômes complexes, Publ. Math. Orsay, 1984-02 et 85-04. Zbl0571.30026
  8. [DH2] A. Douady et J. Hubbard: On the dynamics of polynomial-like mappings, Ann. Sci. Ec. Norm. Sup. Paris t.18, 1985. Zbl0587.30028MR816367
  9. [F] P. Fatou: Sur les équations fonctionnelles, Bull. Soc. Math. France47, 1919, 161-271 et 48 (1920), 33-94, 208-314. Zbl47.0921.02JFM47.0921.02
  10. [G] F. Gehring: Quasiconformal mappings, Proceedings ICM Berkeley1986, à paraître. Zbl0348.30019
  11. [L] O. Lehto: Homeomorphisms with a given dilatation, Proceedings of the 15th Scandinavian Congress, Oslo1968, Lecture Notes118, Springer1970, 58-73. Zbl0193.03703MR260997
  12. [LV] O. Lehto et K. Virtanen: Quasikonforme Abbildungen, Springer, 1965 (existe aussi en anglais). Zbl0138.30301MR188434
  13. [S] D. Sullivan: Quasiconformal homeomorphisms and dynamics I: Solutions of the Fatou-Julia problem on wandering domains, Annals of Math122, 1985,401-418. Zbl0589.30022MR819553

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