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arXiv · 1511.08584

Non extendability from any side of the domain of definition as a generic property of smooth or simply continuous functions on an analytic curve

E. Bolkas·V. Nestoridis·C. Panagiotis
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Abstract

In this article we show that extendability from one side of a simple analytic curve is a rare phenomenon in the topological sense in various spaces of functions. Our result can be proven using Fourier methods combined with other facts or by complex analytic methods and a comparison of the two methods is possible.

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E. Bolkas, V. Nestoridis, C. Panagiotis. 2015-11-27. Non extendability from any side of the domain of definition as a generic property of smooth or simply continuous functions on an analytic curve. https://arxiv.org/abs/1511.08584

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