Finely continuously differentiable functions |
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Authors: | Stephen J Gardiner |
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Institution: | 1. School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
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Abstract: | This paper establishes an explicit characterization of those real-valued functions on a finely open set in Euclidean space
which are continuously differentiable with respect to the fine topology of classical potential theory. It improves and extends
previous work of several authors. Differentiability of all orders is considered, and some consequences of the characterization
are deduced. |
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Keywords: | |
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