caa a22 4500 463246802 CHVBK 20180405153328.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00041-006-6905-0 doi (NATIONALLICENCE)springer-10.1007/s00041-006-6905-0 Biorthogonal Locally Supported Wavelets on the Sphere Based on Zonal Kernel Functions [Elektronische Daten] [Willi Freeden, Michael Schreiner] This article 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 rotationinvariant 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. Birkhauser Boston, 2007 Freeden Willi University of Kaiserslautern, Geomathematics Group, P.O. Box 3049, D-67653 Kaiserslautern, Germany aut Schreiner Michael University of Buchs NTB, Laboratory for Industrial Mathematics, Werdenbergstrasse 4, CH-9471 Buchs, Switzerland aut Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/6(2007-12-01), 693-709 1069-5869 13:6<693 2007 13 41 https://doi.org/10.1007/s00041-006-6905-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00041-006-6905-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Freeden Willi University of Kaiserslautern, Geomathematics Group, P.O. Box 3049, D-67653 Kaiserslautern, Germany aut NATIONALLICENCE 700 1- Schreiner Michael University of Buchs NTB, Laboratory for Industrial Mathematics, Werdenbergstrasse 4, CH-9471 Buchs, Switzerland aut NATIONALLICENCE 773 0- Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/6(2007-12-01), 693-709 1069-5869 13:6<693 2007 13 41 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer