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...
| Κύριοι συγγραφείς: | , , , |
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| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
Sociedade Brasileira de Matemática
2022-02-01
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| Σειρά: | Boletim da Sociedade Paranaense de Matemática |
| Διαθέσιμο Online: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/50603 |
| Περίληψη: | 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-Weierstrass semigroup on the dual space $(\Sigma _{\alpha }^{\beta})^{\prime }.$
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| ISSN: | 0037-8712 2175-1188 |