Abstract:Let G be a locally compact Abelian group, and let Ω + , Ω − be two open sets in G. We investigate the constantand its negative part f − is supported in Ω − . In the case when Ω + = Ω − =: Ω, the problem is exactly the so-called Turán problem for the set Ω. When Ω − = G, i.e., there is a restriction only on the set of positivity of f , we obtain the Delsarte problem. The Delsarte problem in R d is the sharpest Fourier analytic tool to study packing density by translates of a given "master copy" set, which was s… Show more
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