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

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 Added by Vassili Nestoridis
 Publication date 2015
  fields
and research's language is English




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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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