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Flatness of differentiable functions along a subset of a real analytic set

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Abstract

The vanishing order of the value of a smooth function at a point along a subset is related to the order of its Taylor expansion there. To compare these vanishing orders the Spallek function is introduced. A number of properties of this function are developed.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Kinki University, 577-8502, Kowakae Hlgashi-Cxosaka, Japan

    Shuzo Izumi

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  1. Shuzo Izumi
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Correspondence to Shuzo Izumi.

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Izumi, S. Flatness of differentiable functions along a subset of a real analytic set. J. Anal. Math. 86, 235–246 (2002). https://doi.org/10.1007/BF02786650

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  • DOI: https://doi.org/10.1007/BF02786650

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