Approximation in Sobolev spaces by kernel expansions

Journal of Approximation Theory

Volumn 114, Issue 1, 2002, Pages 70-83

  Narcowich, F J ^a   Schaback, R ^b   Ward, J D ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Kernel expansions; n sphere; n torus; Radial basis functions; Sobolev spaces

Indexed keywords

EID: 0036171702     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2001.3637     Document Type: Article

References (8)

1. Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold
2. Error estimates for scattered data interpolation on spheres
3. "Spherical Harmonic"
4. Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
5. Native Hilbert spaces for radial basis functions, I
6. A unified theory of radial basis functions (native Hilbert spaces for radial basis functions, II)
7. "Fourier Analysis on Euclidean Spaces"