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math.FA2026
Duality for Delsarte's extremal problem on locally compact Abelian groups
Elena E. Berdysheva, Bálint Farkas, Marcell Gaál +2
The Delsarte extremal problem for positive definite functions, originally introduced by Delsarte in coding theory to bound the size of error-correcting codes, has since found appli…
math.CA2026
Duality for Delsarte's extremal problem on compact Gelfand pairs
Elena E. Berdysheva, Bálint Farkas, Marcell Gaál +2
We study Delsarte-type problems for positive definite functions on compact Gelfand pairs as infinite-dimensional linear programming problems. This setup includes, as a particular c…