HR: 10:40h
AN: IN22A-02 INVITED     [Abstracts]
TI: Vectorial Wavelets and Wavelet Mie Representation with Applications in the Geosciences
AU: * Maier, T
EM: tmaier@mathematik.uni-kl.de
AF: University of Kaiserslautern, Department of Mathematics Geomathematics Group P.O.Box 3049, Kaiserslautern, 67653 Germany
AB: Vectorial wavelets and the wavelet Mie representation are presented to be adequate tools for the analysis and modelling of certain geoohysical data sets. The considerations are essentially based on two well-known geomathematical keystones, (i) the Helmholtz Decomposition of spherical vector fields and (ii) the Mie Representation of solenoidal vector fields in terms of poloidal and toroidal modes. Applications of the techniques are manifold and may include the analysis of ionospheric geomagnetic contributions or ionospheric electric currents, downward continuation of gravitational or lithospheric magnetic fields, wind-field modelling, electromagnetic induction etc.
DE: 1545 Spatial variations: all harmonics and anomalies
DE: 1894 Instruments and techniques: modeling
DE: 7260 Theory
SC: Earth and Space Science Informatics [IN]
MN: Fall Meeting 2005