Some remarks on vector valued distributions

2021/02/20 by Tove Dahn, Dahn, Tove
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.2102.10411

openalex publication_date 2021/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We argue that the fundamental solution corresponding to a maximal rank differential operator, where the symbol is regarded as a vector valued distribution, is not necessarily very regular. Thus, for a fundamental solution, the property of being very regular, is not invariant to change of local coordinates.

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