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Generalised sk-Spline Interpolation on Compact Abelian Groups

โœ Scribed by J. Levesley; A.K. Kushpel

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
178 KB
Volume
97
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

The notion of sk-spline is generalised to arbitrary compact Abelian groups. A class of conditionally positive definite kernels on the group is identified, and a subclass corresponding to the generalised sk-spline is used for constructing interpolants, on scattered data, to continuous functions on the group. The special case of d-dimensional torus is considered and convergence rates are proved when the kernel is a product of one-dimensional kernels, and the data are gridded.

๐Ÿ“œ SIMILAR VOLUMES

Limit theorems on locally compact Abelia
Limit theorems on locally compact Abelian groups
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## Abstract We prove limit theorems for row sums of a rowwise independent infinitesimal array of random variables with values in a locally compact Abelian group. First we give a proof of Gaiser's theorem [4, Satz 1.3.6], since it does not have an easy access and it is not complete. This theorem giv