For a coinmutative senugoup (S, +, \*) with involution and a function f : S 4 [O, m), the set S ( f ) of those p 2 0 such that f\* is a positive definite function on S is a closed subsemigroup of [O, 00) containing 0. For S = (Hi, +, G\* = -G) it may happen that S(f) = { kd : k E No } for some d>O,a
Kriging, cokriging, radial basis functions and the role of positive definiteness
β Scribed by Donald E. Myers
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 830 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider positive definite and radial functions. After giving general results concerning the smoothness of general positive definite and radial functions, we investigate the class of compactly supported, positive definite, and radial functions, where every function consists of a univariate polyno
This paper describes an iterative dual reciprocity boundary element method (DRBEM) baaed on the compactly-supported, positive definite radial basis function for the solution of Stokes flow problems. The method invdlves the solution of Laplace equations for vorticity, and Poisson equations for veloci
Let f be a positive definite function on a locally compact abelian group G. In [3] we showed that measurability of 1 on an open neighbourhood of the zero implies measurability of f on G. As a main tool we used a result about the support of f [3, Th. I]. The aim of this note is to simplify the proof