Approximation of harmonic covariance functions on the sphere by non-harmonic locally supported functions |
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| Authors: | G Moreaux C C Tscherning F Sanso |
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| Institution: | (1) Department of Geophysics, University of Copenhagen, Juliane Maries Vej 30, DK-2100 Copenhagen O, Denmark, e-mail: gm@gfy.ku.dk; Tel.: +45 3532 0586; Fax: +45 3536 5357, DK;(2) Politecnico di Milano, DIIAR – Sez. Rilevamento, Piazza Leonardo da Vinci 32, 20133 Milano, Italy, IT |
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| Abstract: | Three methods to construct positive definite functions with compact support for the approximation of general geophysical
harmonic covariance functions are presented. The theoretical background is given and simulations carried out, for three types
of covariance functions associated with the determination of the anomalous gravity potential from gravity anomalies. The results
are compared with those of the finite covariance function of Sansò and Schuh (1987).
Received: 24 September 1998 / Accepted: 25 June 1999 |
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| Keywords: | , Positive definite functions,Harmonic covariance functions |
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