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
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
COinS
