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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.11639 |
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| _version_ | 1866909750597255168 |
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| author | Koczan, Grzegorz M. Stachura, Piotr |
| author_facet | Koczan, Grzegorz M. Stachura, Piotr |
| contents | The article presents, in an elementary way, but with mathematical precision and without harm to the intuition, the path from the integral representation to the Dirac delta, starting with Schwartz's functional approach. Next, the considered representation is presented in a more intuitive sequential approach, formulated by Mikusiński and Sikorski. Finally, we present the third regularization that can be related to Sato's approach to distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11639 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On regularizations of the integral representation of Dirac delta function -- elementary approach Koczan, Grzegorz M. Stachura, Piotr History and Overview Mathematical Physics 97199, 46F99 The article presents, in an elementary way, but with mathematical precision and without harm to the intuition, the path from the integral representation to the Dirac delta, starting with Schwartz's functional approach. Next, the considered representation is presented in a more intuitive sequential approach, formulated by Mikusiński and Sikorski. Finally, we present the third regularization that can be related to Sato's approach to distributions. |
| title | On regularizations of the integral representation of Dirac delta function -- elementary approach |
| topic | History and Overview Mathematical Physics 97199, 46F99 |
| url | https://arxiv.org/abs/2508.11639 |