A survey on wavelet methods for (geo) applications.

Willi Freeden; Thorsten Maier; Steffen Zimmermann

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 277-310
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Freeden, Willi, Maier, Thorsten, and Zimmermann, Steffen. "A survey on wavelet methods for (geo) applications.." Revista Matemática Complutense 16.1 (2003): 277-310. <http://eudml.org/doc/44498>.

@article{Freeden2003,
abstract = {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.},
author = {Freeden, Willi, Maier, Thorsten, Zimmermann, Steffen},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Hilbert; Análisis de Fourier; Ondículas; Transformada wavelet; Geomagnetismo; geo applications},
language = {eng},
number = {1},
pages = {277-310},
title = {A survey on wavelet methods for (geo) applications.},
url = {http://eudml.org/doc/44498},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Freeden, Willi
AU - Maier, Thorsten
AU - Zimmermann, Steffen
TI - A survey on wavelet methods for (geo) applications.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 277
EP - 310
AB - 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.
LA - eng
KW - Espacios de Hilbert; Análisis de Fourier; Ondículas; Transformada wavelet; Geomagnetismo; geo applications
UR - http://eudml.org/doc/44498
ER -

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