Strictly positive definite functions in R d

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

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Bibliographic Details
Published in:Journal of approximation theory 2005-12, Vol.137 (2), p.277-280
Main Authors: zu Castell, Wolfgang, Filbir, Frank, Szwarc, Ryszard
Format: Article
Language:English
Subjects:
Linear independence of exponentials
Strictly positive definite functions
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Description
Summary:We give a sufficient condition for strictly positive definiteness in R d . The result is based on the question how sparse subsets of R d can be to guarantee linear independence of the exponentials.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2005.09.014