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Strictly positive definite functions in

Authors:	Wolfgang zu Castell Frank Filbir Ryszard Szwarc

Affiliation:	^aInstitute of Biomathematics and Biometry, GSF – National Research Center for Environment and Health, Ingolstaedter Landstrasse 1, 85764 Neuherberg, Germany;^bInstitute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract:	We give a sufficient condition for strictly positive definiteness in . The result is based on the question how sparse subsets of can be to guarantee linear independence of the exponentials.

Keywords:	Strictly positive definite functions Linear independence of exponentials
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