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arXiv · 2011.02178

On the extension of Whitney ultrajets of Beurling type

Armin Rainer
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Abstract

We prove a version of Whitney's extension theorem in the ultradifferentiable Beurling setting with controlled loss of regularity. As a by-product we show the existence of continuous linear extension operators on certain spaces of Whitney ultrajets on arbitrary closed sets in $\mathbb R^n$.

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Armin Rainer. 2020-11-04. On the extension of Whitney ultrajets of Beurling type. https://arxiv.org/abs/2011.02178

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