## The Solution of Linear Inverse Problems in Satellite Geodesy by Means of Spherical Spline Approximation

• In this paper we consider a certain class of geodetic linear inverse problems LambdaF=G in a reproducing kernel Hilbert space setting to obtain a bounded generalized inverse operator Lambda. For a numerical realization we assume G to be given at a finite number of discrete points to which we employ a spherical spline interpolation method adapted to the Hilbertspaces. By applying Lambda to the obtained spline interpolant we get an approximation of the solution F. Finally our main task is to show some properties of the approximated solution and to prove convergence results if the data set increases.

### Weitere Dienste

Verfasserangaben: F. Schneider urn:nbn:de:hbz:386-kluedo-5501 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (149) Preprint Englisch 1995 1995 Technische Universität Kaiserslautern 07.06.2000 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$