Functions Analytic at Infinity and Normality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910367314083840 |
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| author | de Piro, Tristram |
| author_facet | de Piro, Tristram |
| contents | Given a charge and current distribution with compact support, the associated potentials and fields are generally not integrable in the classical sense. However, it is convenient to be able to define their Fourier transform in order to create solutions to the wave equation. This paper develops the technology for this by considering the class of quasi split normal functions, examples of which are the solutions to Poisson's equation with a forcing term having compact support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09584 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Functions Analytic at Infinity and Normality de Piro, Tristram Mathematical Physics Given a charge and current distribution with compact support, the associated potentials and fields are generally not integrable in the classical sense. However, it is convenient to be able to define their Fourier transform in order to create solutions to the wave equation. This paper develops the technology for this by considering the class of quasi split normal functions, examples of which are the solutions to Poisson's equation with a forcing term having compact support. |
| title | Functions Analytic at Infinity and Normality |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2403.09584 |