@article{BSMF_2000__128_1_69_0, author = {Carletti, Timoteo and Marmi, Stefano.}, title = {Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb {C}},0)$}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {69--85}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {128}, number = {1}, year = {2000}, doi = {10.24033/bsmf.2363}, mrnumber = {2002i:37061}, zbl = {0997.37017}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2363/} }
TY - JOUR AU - Carletti, Timoteo AU - Marmi, Stefano. TI - Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb {C}},0)$ JO - Bulletin de la Société Mathématique de France PY - 2000 SP - 69 EP - 85 VL - 128 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2363/ DO - 10.24033/bsmf.2363 LA - en ID - BSMF_2000__128_1_69_0 ER -
%0 Journal Article %A Carletti, Timoteo %A Marmi, Stefano. %T Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb {C}},0)$ %J Bulletin de la Société Mathématique de France %D 2000 %P 69-85 %V 128 %N 1 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2363/ %R 10.24033/bsmf.2363 %G en %F BSMF_2000__128_1_69_0
Carletti, Timoteo; Marmi, Stefano. Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb {C}},0)$. Bulletin de la Société Mathématique de France, Volume 128 (2000) no. 1, pp. 69-85. doi : 10.24033/bsmf.2363. http://www.numdam.org/articles/10.24033/bsmf.2363/
[Br] Analitycal Form of Differential Equations, Trans. Moscow Math. Soc., t. 25, 1971, p. 131-288. | MR | Zbl
. -[Ca] The Lagrange Inversion Formula on Non-Archimedean Fields, preprint, 1999.
. -[Da] The Critical Function for the Semistandard Map, Nonlinearity, t. 7, 1990, p. 21-37. | MR
. -[Du] U-Dérivation, Annales de la Faculté des Sciences de Toulouse, vol II, 3, 1993. | Numdam | MR | Zbl
. -[GY1] WKB Analysis to Global Solvability and Hypoellipticity, Publ. Res. Inst. Math. Sci. Kyoto Univ., t. 31, 1995, p. 443-464. | MR | Zbl
, . -[GY2] Rapidly Convergent Iteration Method for Simultaneous Normal Forms of Commuting Maps, preprint, 1997.
, . -[He] Proc. VIII Int. Conf. Math. Phys. Mebkhout Seneor Eds. World Scientific, 1986, p. 138-184.
. -[HW] An Introduction to the Theory of Numbers, 5th ed. - Oxford Univ. Press.
, . -[Lo] Canonical Perturbation Theory via Simultaneous Approximation, Russ. Math. Surv., t. 47, 1992, p. 57-133. | MR | Zbl
. -[MMY] The Brjuno Functions and Their Regularity Properties, Comm. Math. Physics, t. 186, 1997, p. 265-293. | MR | Zbl
, , . -[Si] Iteration of Analytic Functions, Ann. Math., t. 43, 1942, p. 807-812. | MR | Zbl
. -[Yo] Théorème de Siegel, polynômes quadratiques et nombres de Brjuno, Astérisque, 231, 1995, p. 3-88. | MR
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