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zu Castell, W.

Recurrence relations for radial positive definite functions.

J. Math. Anal. Appl. 271, 108-123 (2002)
Open Access Green as soon as Postprint is submitted to ZB.
In the theory of radial basis functions as well as in the theory of spherically symmetric characteristic functions recurrence relations are used to construct d-dimensional functions starting with lower-dimensional ones. We show that the operators used so far are special cases of one step recurrence relations for l(2)-radial positive definite functions. We further give the analogue for l(1)-radial functions and thereby define a turning bands operator for 1-symmetric characteristic functions.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Radial basis functions; Spherically symmetric characteristic functions; Turning bands operator; Fractional operators; Meijer's G-function
ISSN (print) / ISBN 0022-247X
e-ISSN 1096-0813
Journal Journal of Mathematical Analysis and Applications
Quellenangaben Volume: 271, Issue: , Pages: 108-123 Article Number: , Supplement: ,
Publisher Elsevier
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)