Flatness of differentiable functions along a subset of a real analytic set |
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Authors: | Shuzo Izumi |
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Affiliation: | (1) Department of Mathematics and Physics, Kinki University, 577-8502 Kowakae Hlgashi-Cxosaka, Japan |
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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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Keywords: | |
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