Title

Strictly positive definite functions on the complex Hilbert sphere

Abstract

We study strictly positive definite functions on the complex Hilbert sphere. A link between strict positive definiteness and (harmonic) polynomial interpolation on finitedimensional spheres is investigated. Sufficient conditions for strict positive definiteness are presented.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1023/a:1018915723982

Keywords

Complex hilbert sphere, Multivariate interpolation, Positive definite functions

Publication Date

1-1-1999

Journal Title

Advances in Computational Mathematics

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