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Complex analytic and formal solutions of real analytic equations in \(\mathbb{C}^n\). (English) Zbl 0364.32003


MSC:

32A30 Other generalizations of function theory of one complex variable
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
32B99 Local analytic geometry
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References:

[1] Artin, M.: On the solutions of analytic equations. Invent. Math.5, 277-291 (1968) · Zbl 0172.05301 · doi:10.1007/BF01389777
[2] Bierstone, E., Milman, P.: Invariant solutions of analytic equations, (preprint) · Zbl 0432.14001
[3] Bloom, T., Graham, I.: On ?type? conditions for generic real submanifolds of C in . Invent. Math.40, 217-243 (1977) · Zbl 0346.32013 · doi:10.1007/BF01425740
[4] Ephraim, R.: 7-1 and analytic equivalence singularities. Rice University Studies, Vol. 59, N 1, 11-32 (1973) · Zbl 0277.32021
[5] Gabrielov, A. M.: The formal relations between analytic functions. Funkcional. Anal. i Prilo?en5, 64-65 (1971); Funk. Anal. Appl.5, 318-319 (1971)
[6] Malgrange, B.: Ideals of differentiable functions. London: Oxford University Press 1967 · Zbl 0177.18001
[7] Risler, J.-J.: Un theoreme des z’eros en geometric analytique reele. C.R. Acad. Sci. Paris, Ser. A.-B.274, 1488-1490 (1972) · Zbl 0236.14001
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