The finite subsets of Z(2) having the extension property

Authors
Bakonyi, M Naevdal, G
Citation
M. Bakonyi et G. Naevdal, The finite subsets of Z(2) having the extension property, J LOND MATH, 62, 2000, pp. 904-916
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
62
Year of publication
2000
Part
3
Pages
904 - 916
Database
ISI
SICI code
0024-6107(200012)62:<904:TFSOZH>2.0.ZU;2-P
Abstract
The paper considers finite subsets Lambda subset of Z(d) which possess the extension property, namely that every collection {c(k)}(k epsilon Lambda-La mbda) of complex numbers which is positive definite with respect to Lambda is the restriction of the Fourier coefficients of some positive measure on Td. All finite subsets of Z(2) which possess the extension property are des cribed.