21 citations · 36 across the 10 of their papers we have counts for
4 papers · 1 filter
Spherical Basis Functions in Hardy Spaces with Localization Constraints
Christian Gerhards, Xinpeng Huang
Subspaces obtained by the orthogonal projection of locally supported square-integrable vector fields onto the Hardy spaces and , respectively, pl…
A Parameter Choice Strategy for the Inversion of Multiple Observations
C. Gerhards, S. Pereverzyev, P. Tkachenko
In many geoscientific applications, multiple noisy observations of different origin need to be combined to improve the reconstruction of a common underlying quantity. This naturall…
Locally Supported Wavelets for the Separation of Spherical Vector Fields with Respect to their Sources
Christian Gerhards
We provide a space domain oriented separation of magnetic fields into parts generated by sources in the exterior and sources in the interior of a given sphere. The separation itsel…
A Combination of Downward Continuation and Local Approximation for Harmonic Potentials
Christian Gerhards
This paper presents a method for the approximation of harmonic potentials that combines downward continuation of globally available data on a sphere of radius (e.g., a sa…