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On the extension of Whitney ultrajets, II

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arxiv 1808.10253 v2 pith:QX4TLM4C submitted 2018-08-30 math.CA math.FA

classification math.CAmath.FA
keywords extensiontheoremwhitneycharacterizeclarifyconditioncontrolleddropped
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We characterize the validity of the Whitney extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity. Specifically, we show that in the main Theorem 1.3 of [15] condition (1.3) can be dropped. Moreover, we clarify some questions that remained open in [15].

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  1. Ultraholomorphic extension theorems in the mixed setting

    math.CV 2019-08 conditional novelty 6.0 of 10

    Mixed ultraholomorphic extension theorems hold for sector openings controlled by new mixed growth indices γ(M,N) and γ(σ,ω), even when all unmixed indices vanish.

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