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Wavelets on the 3–dimensional Ball
Author(s) -
Michel V.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510362
Subject(s) - ball (mathematics) , wavelet , computer science , mathematics , artificial intelligence , geology , geometry
In this article wavelets on a ball in ℝ 3 are introduced. Corresponding properties like an approximate identity and decomposition/reconstruction (scale step property) are proved. The advantage of this approach compared to a classical Fourier analysis in orthogonal polynomials is a better localization of the used ansatz functions. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)