On extremal problems of Delsarte type for positive definite functions on LCA groups
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913592083742720 |
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| author | Berdysheva, Elena E. Ramabulana, Mita D. Révész, Szilárd Gy. |
| author_facet | Berdysheva, Elena E. Ramabulana, Mita D. Révész, Szilárd Gy. |
| contents | A unifying framework for some extremal problems on locally compact Abelian groups is considered, special cases of which include the Delsarte and Turán extremal problems. A slight variation of the extremal problem is introduced and the different formulations are studied for equivalence. Extending previous work, a general result on existence of extremal functions for the new variant is proved under a certain general topological condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On extremal problems of Delsarte type for positive definite functions on LCA groups Berdysheva, Elena E. Ramabulana, Mita D. Révész, Szilárd Gy. Classical Analysis and ODEs 43A35 A unifying framework for some extremal problems on locally compact Abelian groups is considered, special cases of which include the Delsarte and Turán extremal problems. A slight variation of the extremal problem is introduced and the different formulations are studied for equivalence. Extending previous work, a general result on existence of extremal functions for the new variant is proved under a certain general topological condition. |
| title | On extremal problems of Delsarte type for positive definite functions on LCA groups |
| topic | Classical Analysis and ODEs 43A35 |
| url | https://arxiv.org/abs/2412.00482 |