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arxiv: 1709.00932 · v2 · pith:6CY5OXXHnew · submitted 2017-09-04 · 🧮 math.CA · math.FA

On the extension of Whitney ultrajets

classification 🧮 math.CA math.FA
keywords extensionwhitneyconditionscontrolledlossnecessaryproveregularity
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We prove necessary and sufficient conditions for the validity of Whitney's extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity.

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