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THE FINITE SUBSETS OF Z2 HAVING THE EXTENSION PROPERTY

Published online by Cambridge University Press:  13 February 2001

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

The paper considers finite subsets Λ ⊂ Zd which possess the extension property, namely that every collection {ck}k∈Λ−Λ of complex numbers which is positive definite with respect to Λ is the restriction of the Fourier coefficients of some positive measure on Td. All finite subsets of Z2 which possess the extension property are described.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 904 - 916
Copyright
The London Mathematical Society 2000

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