Berdysheva, E.E. and Ramabulana, M.D. and Révész, Szilárd (2025) On extremal problems of Delsarte type for positive definite functions on LCA groups. EXPOSITIONES MATHEMATICAE. No. 125663. ISSN 0723-0869 (In Press)
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Official URL: https://doi.org/10.1016/j.exmath.2025.125663
Abstract
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Locally compact Abelian groups; Positive definite functions; Extremal problems; Delsarte problem; Turán problem |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2026 07:36 |
| Last Modified: | 06 Feb 2026 07:36 |
| URI: | https://real.mtak.hu/id/eprint/233375 |
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