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Some results on formal power series and differentiable functions. (English) Zbl 0338.13026


MSC:

13J05 Power series rings
32C05 Real-analytic manifolds, real-analytic spaces
26E10 \(C^\infty\)-functions, quasi-analytic functions
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References:

[1] Shiota, M., On germs of differentiate functions in two variables, Publ. RIMS, Kyoto Univ., 9 (1974), 319-324. · Zbl 0278.57013
[2] Whitney, H., Local properties of analytic varieties, Differential and Combinatorial Topology, Princeton Univ. Press, 1965. Added in proof: The author was informed that Theorem 2 and its corollary were also obtained independently by K. Reichard (Mamiscripta Math. 15 (1975), 243-250) and M. van der Put (to appear in Compositio Math..
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