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arXiv 2011.02178math.CAmath.FA
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On the extension of Whitney ultrajets of Beurling type

Armin Rainer

英文摘要:

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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