Ultradifferentiable functions via the Laguerre operator
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910654550507520 |
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| author | Jakšić, Smiljana Pilipović, Stevan Teofanov, Nenad Vučković, Đorđe |
| author_facet | Jakšić, Smiljana Pilipović, Stevan Teofanov, Nenad Vučković, Đorđe |
| contents | We define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is based on decay or growth conditions of the coefficients in their Laguerre series expansion. We apply our results to establish an isomorphism between subspaces of Pilipović spaces on $\RR^d$, and the spaces of ultradifferentiable functions on $\RR^d_+$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ultradifferentiable functions via the Laguerre operator Jakšić, Smiljana Pilipović, Stevan Teofanov, Nenad Vučković, Đorđe Functional Analysis 46F05, 33C45 We define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is based on decay or growth conditions of the coefficients in their Laguerre series expansion. We apply our results to establish an isomorphism between subspaces of Pilipović spaces on $\RR^d$, and the spaces of ultradifferentiable functions on $\RR^d_+$. |
| title | Ultradifferentiable functions via the Laguerre operator |
| topic | Functional Analysis 46F05, 33C45 |
| url | https://arxiv.org/abs/2407.09422 |