Shiota, Masahiro Some results on formal power series and differentiable functions. (English) Zbl 0338.13026 Publ. Res. Inst. Math. Sci., Kyoto Univ. 12, 49-53 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 13J05 Power series rings 32C05 Real-analytic manifolds, real-analytic spaces 26E10 \(C^\infty\)-functions, quasi-analytic functions PDFBibTeX XMLCite \textit{M. Shiota}, Publ. Res. Inst. Math. Sci. 12, 49--53 (1976; Zbl 0338.13026) Full Text: DOI 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.. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.