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Time-Space Multiscale Analysis by Use of Tensor Product Wavelets and its Application to Hydrology and GRACE Data

  • This paper presents a wavelet analysis of temporal and spatial variations of the Earth's gravitational potential based on tensor product wavelets. The time--space wavelet concept is realized by combining Legendre wavelets for the time domain and spherical wavelets for the space domain. In consequence, a multiresolution analysis for both, temporal and spatial resolution, is formulated within a unified concept. The method is then numerically realized by using first synthetically generated data and, finally, several real data sets.

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Author:Helga Nutz, Kerstin Wolf
URN (permanent link):urn:nbn:de:hbz:386-kluedo-15141
Serie (Series number):Schriften zur Funktionalanalysis und Geomathematik (36)
Document Type:Preprint
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2008/01/11
Tag:Legendre Wavelets; Multiresolution Analysis; Spherical Wavelets; Time-Space Multiresolution Analysis
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011