Application of the dual space of Gelfand-Shilov spaces of Beurling type

Using a previously obtained structure theorem of Gelfand-Shilov spaces $\Sigma _{\alpha }^{\beta }$ of Beurling type of ultradistributions, we prove that these ultradistributions can be represented as an initial values of solutions of the heat equation by describing the action of the Gauss-Weierstr...

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Bibliographic Details
Main Authors: Ala Qadomi, Maysam Abu-Dalu, Saud Al-Sadi, Hamed M. Obiedat
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50603