TY - RPRT
A1 - Gerhards, Christian
T1 - Locally Supported Wavelets for the Separation of Spherical Vector Fields with Respect to their Sources
N2 - 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 itself is well-known in geomagnetic modeling, usually in terms of a spherical harmonic analysis or a wavelet analysis that is spherical harmonic based. However, it can also be regarded as a modification of the Helmholtz decomposition for which we derive integral representations with explicitly known convolution kernels. Regularizing these singular kernels allows a multiscale representation of the magnetic field with locally supported wavelets. This representation is applied to a set of CHAMP data for crustal field modeling.
T3 - Schriften zur Funktionalanalysis und Geomathematik - 48
KW - Greenâ€™s function
KW - single layer kernel
KW - locally supported wavelets
KW - magnetic field
KW - spherical decomposition
Y1 - 2011
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2284
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-16835
ER -