Titlebook: Handbook of Geomathematics; Willi Freeden,M. Zuhair Nashed,Thomas Sonar Reference work 2015Latest edition Springer-Verlag Berlin Heidelber

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Time-Variable Gravity Field and Global Deformation of the Earthse two observables provide, for the first time, a direct measurement of the amount of mass that is redistributed at or near the surface of the Earth by oceanic and atmospheric circulation and through the hydrological cycle. In this chapter, we will first reconsider the relations between gravity and

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Spacetime Modeling of the Earth’s Gravity Field by Ellipsoidal Harmonicson of the planetary bodies and their gravity fields is in terms of ellipsoidal harmonics and ellipsoidal wavelets. Here, various effects are treated when considering the Earth to be “ellipsoidal”: Sections . and . start the chapter with the celebrated ellipsoidal Dirichlet and ellipsoidal Stokes (to

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Multiresolution Analysis of Hydrology and Satellite Gravitational Datawhich are built up by Legendre and spherical wavelets for the time and space domain, respectively. The multiresolution is performed for satellite and hydrological data, and based on these results we compute correlation coefficients between both data sets, which help us to develop a filter for the ex