The classification of curvilinear angles in the complex plane and the groups of ± holomorphic diffeomorphisms

Isao Nakai

Annales de la Faculté des sciences de Toulouse : Mathématiques (1998)

  • Volume: 7, Issue: 2, page 313-334
  • ISSN: 0240-2963

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Nakai, Isao. "The classification of curvilinear angles in the complex plane and the groups of $\pm $ holomorphic diffeomorphisms." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.2 (1998): 313-334. <http://eudml.org/doc/73455>.

@article{Nakai1998,
author = {Nakai, Isao},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {anti-holomorphic involution; classification of curvilinear angles; groups of holomorphic diffeomorphisms; Ecalle-Voronin cylinder},
language = {eng},
number = {2},
pages = {313-334},
publisher = {UNIVERSITE PAUL SABATIER},
title = {The classification of curvilinear angles in the complex plane and the groups of $\pm $ holomorphic diffeomorphisms},
url = {http://eudml.org/doc/73455},
volume = {7},
year = {1998},
}

TY - JOUR
AU - Nakai, Isao
TI - The classification of curvilinear angles in the complex plane and the groups of $\pm $ holomorphic diffeomorphisms
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1998
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 2
SP - 313
EP - 334
LA - eng
KW - anti-holomorphic involution; classification of curvilinear angles; groups of holomorphic diffeomorphisms; Ecalle-Voronin cylinder
UR - http://eudml.org/doc/73455
ER -

References

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  3. [3] Ecalle ( J.) .— Les fonctions résurgentes I-III, preprint in Université de Paris, Orsay (1985). MR852210
  4. [4] IL'YASHENKO ( Yu S.) . - Non linear Stokes Phenomena, Advances in Soviet Math., A.M.S.14 (1993). Zbl0804.32011
  5. [5] Kasner ( E.) .— Conformal geometry, Proc. Fifth Int. Cong. Math. Cambridge2 (1912), p. 81 JFM44.0634.01
  6. [6] Kasner ( E.) .— Conformal classification of analytic arcs or elements: Poincaré's local problem of conformal geometry, Trans. Amer. Math. Soc.16 (1915), pp. 333-349. Zbl45.0663.02MR1501016JFM45.0663.02
  7. [7] Malgrange ( B.) .— Travaux d'Ecalle et de Martinet-Ramis sur les systèmes dynamiques, Astérisque92-93 (1982), pp. 59-73. Zbl0526.58009MR689526
  8. [8] Nakai ( I.) .- Separatrices for non solvable dynamics on C, 0, Ann. Inst. Fourier, Grenoble, 44, n° 2 (1994), pp. 569-599 . Zbl0804.57022MR1296744
  9. [9] Pérez Marco ( R.) .- Non linearizable holomorphic dynamics having an uncountable number of symmetries, preprint. 
  10. [10] Pfeiffer ( G.A.) . - On the conformal geometry of analytic arcs, Amer. J. Math.37 (1915), pp. 395-430. Zbl45.0663.01JFM45.0663.01
  11. [11] Poincaré ( H.) . - Les fonctions analytiques de deux variables et la représentation conforme, Rendiconti del circolo matematico di Palermo23 (1907), pp. 185-220. Zbl38.0459.02JFM38.0459.02
  12. [12] Voronin ( S.M.) . — Analytic classification of germs of maps (C, 0) → (C, 0) with identical linear part, Funct. Anal.15, n° 1 (1981), pp. 1-17. Zbl0463.30010MR609790

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