The Whitney extension theorem in high dimensions

2015/08/07 by Alan Chang, Chang, Alan
Mathematics · #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Meromorphic and Entire Functions #math.CA

paper · pdf · doi:10.48550/arxiv.1508.01779

arxiv created 2015/08/07 · openalex publication_date 2015/08/07 · arxiv updated 2015/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a variant of the standard Whitney extension theorem for \mathcal C^m(\mathbb Rⁿ), in which the norm of the extension operator has polynomial growth in n for fixed m.

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