Abstract
AbstractThis paper presents a method for approximating spherical functions from discrete data of a block–wise grid structure. The essential ingredients of the approach are scaling and wavelet functions within a biorthogonalisation process generated by locally supported zonal kernel functions. In consequence, geophysically and geodetically relevant problems involving rotation–invariant pseudodifferential operators become attackable. A multiresolution analysis is formulated enabling a fast wavelet transform similar to the algorithms known from classical tensor product wavelet theory. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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