Strictly positive definite functions on the complex Hilbert sphere

Authors

Xingping Sun, Missouri State UniversityFollow
V. A. Menegatto

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

Recommended Citation

Sun, Xingping, and Valdir Antonio Menegatto. "Strictly positive definite functions on the complex Hilbert sphere." Advances in Computational Mathematics 11, no. 2 (1999): 105-119.

Journal Title

Advances in Computational Mathematics