Multiplication and convolution topological algebras in spaces of ω-ultradifferentiable functions of Beurling type

2022/01/07 by Angela A. Albanese, Albanese, Angela A., Claudio Mele +1
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2201.02549

openalex publication_date 2022/01/07 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We determine multiplication and convolution topological algebras for classes of ω-ultradifferentiable functions of Beurling type. Hypocontinuity and discontinuity of the multiplication and convolution mappings are also investigated.

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