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The Finite Subsets of Z2 Having the Extension Property

Authors:	Bakonyi, Mihaly Naevdal, Geir

Affiliation:	Department of Mathematics, Georgia State University Atlanta, GA 30303, USA RF-Rogaland Research Thormøhlensgt. 55, N-5008 Bergen, Norway

Abstract:	The paper considers finite subsets ${Lambda}$ $sub$ Z^d which possess the extensionproperty, namely that every collection {c_k}_k of complexnumbers which is positive definite with respect to ${Lambda}$ is the restrictionof the Fourier coefficients of some positive measure on T^d.All finite subsets of Z² which possess the extension propertyare described.

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