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Additional info for Advanced Course Of Mathematical Analysis III: Proceedings of the Third International School La Rabida, Spain, 3 - 7 September 2007
7 (2001), 435–467. May 6, 2008 15:45 38 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 O. Blasco 11. J. Gilbert and A. Nahmod, Boundedness Bilinear operators with non-smooth symbols, Mat. Res. Letters 7 (2000), 767–778. 12. L. Grafakos and P. Honz´ık, Maximal transference and summability of multilinear Fourier series, J. Australian Math. Soc. 80 (2006), 65–80. 13. L. Grafakos and N. Kalton, Some remarks on multilinear maps and interpolation, Math. Annalen 319 (2001), 151–180. 14. C. E. Kenig and E.
Mat. Obshch. 14 (1904), 155–234. 3. A. D. Bryuno, Convergence of transformations of differential equations to normal forms, Dokl. Akad. Nauk. USSR 165 (1965), 987–989. 4. A. D. Bryuno, Analytical form of differential equations, I, Trans. Moscow Math. Soc. 25 (1971), 131–288. 5. A. D. Bryuno, Analytical form of differential equations, II, Trans. Moscow Math. Soc. 26 (1972), 199–239. 6. C. Camacho, On the local structure of conformal mappings and holomorphic vector fields, Ast´erisque 59-60 (1978) 83–94.
2. In particular, holomorphic local dynamical systems tangent to the identity give examples of local dynamical systems that are topologically conjugated without being neither holomorphically nor formally conjugated and of local dynamical systems that are formally conjugated without being holomorphically conjugated. May 6, 2008 15:45 20 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 M. Abate Finally, if f ∈ End (C, 0) satisfies a1 = e2πip/q then f q is tangent to the identity. Therefore, we can apply the previous results to f q and then infer informations about the dynamics of the original f .