Journal Article10.2307/1968466
Metric spaces and completely monotone functions
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About: This article is published in Annals of Mathematics. The article was published on 01 Oct 1938. The article focuses on the topics: Convex metric space & Injective metric space.
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Citations
On the Whittle-Matérn correlation family
Peter Guttorp,Tilmann Gneiting +1 more
- 01 Jan 2005
TL;DR: The Whittle-Matern family as mentioned in this paper is a family of spatial correlations with one parameter determining the smoothness of the paths of the underlying spatial field, and it is related to the Hankel transform.
41
Using compactly supported radial basis functions to solve partial differential equations
Robert Schaback,Holger Wendland +1 more
- 01 Jan 1999
TL;DR: In this paper, a survey of radial basis functions for boundary element boundary element techniques is given, as far as they seem to be relevant for the boundary element technique, as well as their application to other meshless tools like multiquadrics.
References
Metric spaces and positive definite functions
TL;DR: In this paper, a connection between the problem of isometric imbedding and the concept of positive definite functions has been made, and it has been shown that the possibility of topological imbeddability of (E in '&) is very easily expressible in terms of the elementary function e-t2 and positive definite function (Theorem 1) if this concept is properly enlarged.
Sur les fonctions absolument monotones
TL;DR: Les fonctions absolument monotones jouent le m~me rble fondamenta l duns la th6orie des f o n c t i o n s analytiques d 'une variable r6elle que les fonsctions (simplement) monotone for la classe g6n6rale des fonction £ variat ion born6e as mentioned in this paper.
492
•Book
Random variables and probability distributions
Harald Cramér
- 01 Jan 1937
TL;DR: In this paper, the authors introduce Axioms and preliminary theorems of the central limit theorem for stochastic processes and the normal distribution of the distribution in R1 and R2.
486