Kaiserslautern - Fachbereich Mathematik
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Erscheinungsjahr
- 2007 (1)
Dokumenttyp
- Dissertation (1) (entfernen)
Sprache
- Englisch (1)
Volltext vorhanden
- ja (1)
Schlagworte
- Spherical Fast Wavelet Transform (1) (entfernen)
Fachbereich / Organisatorische Einheit
The thesis is concerned with multiscale approximation by means of radial basis functions on hierarchically structured spherical grids. A new approach is proposed to construct a biorthogonal system of locally supported zonal functions. By use of this biorthogonal system of locally supported zonal functions, a spherical fast wavelet transform (SFWT) is established. Finally, based on the wavelet analysis, geophysically and geodetically relevant problems involving rotation-invariant pseudodifferential operators are shown to be efficiently and economically solvable.