Wavelet Decomposition of Spherical Vector Fields with Respect to Sources

@article{Mayer2006WaveletDO,
  title={Wavelet Decomposition of Spherical Vector Fields with Respect to Sources},
  author={Carsten Mayer},
  journal={Journal of Fourier Analysis and Applications},
  year={2006},
  volume={12},
  pages={345-369}
}
This article is concerned with an approach of modelling the Earth’s magnetic field as measured by satellites in terms of a special system of vector spherical harmonics and in terms of vector kernel functions, called vector scaling functions and wavelets. The main ingredient is the presentation of a system of vector spherical harmonics which separates a given spherical vector field with respect to its sources, i.e., the spherical vector field is separated into a part which is induced by sources… CONTINUE READING