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Zur Lojasiewicz-Ungleichung für differenzierbare Funktionen

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Abstract

Let f be a C∞-function satisfying a Lojasiewicz-inequality. Is it possible that the Taylor series of f is the zero-series in some point?

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Literatur

  1. LOJASIEWICZ, S.: Ensembles semi-analytiques. Paris, Press Universitaires de France (1966), I.H.E.S.

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  2. MALGRANGE, G.: Ideals of differentiable functions. Oxford 1966

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  4. SPALLEK, K.: Abgeschlossene Garben differenzierbarer Funktionen. man. math. 6, 147–175 (1972)

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  5. WERNER, H., SCHABACK, R.: Praktische Mathematik II. Berlin-Heidelberg-New York 1972

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Authors and Affiliations

  1. Institut für Mathematik, RUHR-UNIVERSITÄT Bochum, D-463, Bochum

    Niels M. Christensen

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  1. Niels M. Christensen
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Christensen, N.M. Zur Lojasiewicz-Ungleichung für differenzierbare Funktionen. Manuscripta Math 20, 255–262 (1977). https://doi.org/10.1007/BF01358640

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  • DOI: https://doi.org/10.1007/BF01358640

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