@Article{ATA-41-208,
author = {Estrada , Ricardo and Kellinsky-Gonzalez , Kevin},
title = {Separation of Sequences and Multipliers in the Space of Tempered Distributions},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {41},
number = {3},
pages = {208--228},
abstract = {<p style="text-align: justify;">We consider the notions of $v$-separation and $(N,v)$-separation for increasing
 sequences that tend to infinity. We study several of the connections between the properties of a multiplier in the space $S&#39;(\mathbb{R})$ and in other related spaces and the separation
 properties of the sequence of its zeros.<br/>We also prove that a distributional division problem $$Fh=f,$$always has tempered solutions $h$ for any tempered data $f$ if and only if the non integrable function $1/F$ admits regularizations that are tempered, and that this holds if
 and only if the pseudofunction $\mathcal{P} f (1/F)$ is tempered.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2024-0015},
url = {http://global-sci.org/intro/article_detail/ata/24480.html}
}