@incollection{AST_2003__284__271_0, author = {Tr\'epreau, Jean-Marie}, title = {Discrimination analytique des diff\'eomorphismes r\'esonnants de $( \mathbb{C},0 )$ et r\'eflexion de {Schwarz}}, booktitle = {Autour de l'analyse microlocale - Volume en l'honneur de Jean-Michel Bony}, editor = {Lebeau Gilles}, series = {Ast\'erisque}, pages = {271--319}, publisher = {Soci\'et\'e math\'ematique de France}, number = {284}, year = {2003}, mrnumber = {2003424}, zbl = {1064.30019}, language = {fr}, url = {http://archive.numdam.org/item/AST_2003__284__271_0/} }
TY - CHAP AU - Trépreau, Jean-Marie TI - Discrimination analytique des difféomorphismes résonnants de $( \mathbb{C},0 )$ et réflexion de Schwarz BT - Autour de l'analyse microlocale - Volume en l'honneur de Jean-Michel Bony AU - Collectif ED - Lebeau Gilles T3 - Astérisque PY - 2003 SP - 271 EP - 319 IS - 284 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2003__284__271_0/ LA - fr ID - AST_2003__284__271_0 ER -
%0 Book Section %A Trépreau, Jean-Marie %T Discrimination analytique des difféomorphismes résonnants de $( \mathbb{C},0 )$ et réflexion de Schwarz %B Autour de l'analyse microlocale - Volume en l'honneur de Jean-Michel Bony %A Collectif %E Lebeau Gilles %S Astérisque %D 2003 %P 271-319 %N 284 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2003__284__271_0/ %G fr %F AST_2003__284__271_0
Trépreau, Jean-Marie. Discrimination analytique des difféomorphismes résonnants de $( \mathbb{C},0 )$ et réflexion de Schwarz, in Autour de l'analyse microlocale - Volume en l'honneur de Jean-Michel Bony, Astérisque, no. 284 (2003), pp. 271-319. http://archive.numdam.org/item/AST_2003__284__271_0/
[1] Entire functions, in the classification of differentiable germs tangent to the identity, in one or two variables, Trans. Amer. Math. Soc., 347 (1995), 543-572. | DOI | MR | Zbl
, -[2] Permutable power series and regular iteration, J. Australian Math. Soc., 2 (1962), 265-294. | DOI | MR | Zbl
-[3] Fractional iteration near a fixpoint of multiplier 1, J. Australian Math. Soc., 4 (1964), 143-148. | DOI | MR | Zbl
-[4] Non-embeddable functions with a fixpoint of multiplier 1, Math. Zeitschr., 99 (1967), 377-384. | DOI | EuDML | MR | Zbl
-[5] On a class of non-embeddable entire functions, J. Ramanujan Math. Soc., 3 (2) (1988), 151-159. | MR | Zbl
, -[6] Déformations analytiques et fonctions auto-équivalentes, Annales de l'Inst. H. Poincaré, 9 (1939), 51-122. | EuDML | Numdam | MR | Zbl
-[7] Collected Mathematical Papers, vol. III, Dover (1968). | MR | Zbl
-[8] Complex Dynamics, Universitext, Springer 1993. | MR | Zbl
, -[9] The Schwarz function and its applications - the Carus Mathematical Monographs n° 17, the Mathematical Association of America 1974. | MR | Zbl
-[10] Quelques résultats nouveaux en théorie de la -itération, C. R. Acad. Sc. Paris, 272 (1971), 225-227. | MR | Zbl
-[11] Théorie itérative : introduction à la théorie des invariants holomorphes, J. Math. Pures et App., 54 (1975), 183-258. | MR | Zbl
-[12] Les fonctions résurgentes, tomes I, II, III, Publ. Math. d'Orsay, 1981 | MR | Zbl
-Les fonctions résurgentes, tomes I, II, III, Publ. Math. d'Orsay, 1985. | MR | Zbl
-[13] Orbital analytic nonequivalence of saddle resonant vector fields in , Math. USSR-Sb. 51 (1985), 533-547. | DOI | Zbl
-[14] Nonlinear Stokes phenomena, Adv. in Soviet. Math. 14, A. M. S. 1993, 1-55. | MR | Zbl
-[15] Conformal geometry, Proc. Fifth Int. Cong. Math., Cambridge 1912, vol 2, p. 81. | JFM
-[16] Fractional iteration near a fixpoint of multiplier , J. London Math. Soc. 2, 9 (1975), 599-609. | DOI | MR | Zbl
-[17] Cinq leçons sur la structure transverse d'une singularité de feuilletage holomorphe en dimension complexe, Cours d'intégration et monographies du Réseau Européen Red TMR Sing. Ec. Dif. et Feuilletages, 1 (1998).
-[18] Travaux d'Écalle et de Martinet-Ramis sur les systèmes dynamiques, Séminaire Bourbaki, exposé n° 582, , (1981) Astérisque 92-93, 1982, 59-73. | EuDML | Numdam | MR | Zbl
-[19] The classification of curvilinear angles in the complex plane and the groups of ± holomorphic diffeomorphisms, Ann. Fac. Sc. Toulouse, Vol VII, n° 2 (1998), 313-334. | DOI | EuDML | Numdam | MR | Zbl
-[20] On analytic equivalence of glancing hypersurfaces, Sci. Papers College Ed. Univ. Tokyo, 28 (1978), 51-57. | MR | Zbl
-[21] Non linearizable holomorphic dynamics having an uncountable number of symmetries, Invent. Math., 119 (1995), 67-127. | DOI | EuDML | MR | Zbl
-[22] On the conformal geometry of analytic arcs, Amer. J. Math., 37 (1915), 395-430. | DOI | JFM | MR
-[23] On the conformal mapping of curvilinear angles. The functional equation , Trans. Amer. Math. Soc., 18 (1917), 185-198. | JFM | MR
-[24] Aberrancy : geometry of the third derivative, Math. Mag., 51 (1978), 259-275. | DOI | MR | Zbl
-[25] Germs of maps, analytically not equivalent with their formal normal form, Funct. Anal. Appl., 16 (1982), 155-157. | DOI | MR | Zbl
-[26] Fractional iteration of entire and rational functions, J. Australian Math. Soc., 4 (1964), 129-142. | DOI | MR | Zbl
-[27] Analytic classification of germs of conformal mappings with identity linear part, Funct. Anal. Appl., 15 (1981), 1-13. | DOI | MR | Zbl
-[28] Analytic classification of pairs of involutions and its applications, Funct. Anal. Appl., 16 (1982), 94-100. | DOI | MR | Zbl
-[29] Double valued reflection in the complex plane, L'Ens. Math., 42 (1996), 25-48. | MR | Zbl
-[30] Petits diviseurs en dimension , Astérisque, 231, Soc. Math. de France 1995. | Numdam | Zbl
-