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arXiv · 1907.04205

On the space of ultradistributions vanishing at infinity

Andreas Debrouwere·Lenny Neyt·Jasson Vindas
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Abstract

We study the structural and linear topological properties of the space $\dot{\mathcal{B}}^{\prime \ast}_ω$ of ultradistributions vanishing at infinity (with respect to a weight function $ω$). Particularly, we show the first structure theorem for $\dot{\mathcal{B}}^{\prime \ast}_ω$ under weaker hypotheses than were known so far. As an application, we determine the structure of the S-asymptotic behavior of ultradistributions.

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Andreas Debrouwere, Lenny Neyt, Jasson Vindas. 2019-12-09. On the space of ultradistributions vanishing at infinity. https://doi.org/10.1007/s43037-019-00045-x

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