Wavelets originated in 1980's for the analysis of (seismic) signals and have seen an explosion of applications. However, almost all the material is based on wavelets over Euclidean spaces. This paper deals with an approach to the theory and algorithmic aspects of wavelets in a general separable Hilbert space framework. As examples Legendre wavelets on the interval [-1,+1] and scalar and vector spherical wavelets on the unit sphere 'Omega' are discussed in more detail.
@article{urn:eudml:doc:44498,
title = {A survey on wavelet methods for (geo) applications.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {16},
year = {2003},
pages = {277-310},
zbl = {1054.65134},
mrnumber = {MR2031884},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44498}
}
Freeden, Willi; Maier, Thorsten; Zimmermann, Steffen. A survey on wavelet methods for (geo) applications.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 277-310. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44498/