Abstract
During the past decade the use of different types of wavelets has to a large extent been dominated by applications to signal analysis and image compression problems. Their potential in numerical schemes for various operator equations has also aroused increasing interest [C, D3]. This is largely due to the fact that wavelet bases or shortly wavelets combine at least three useful properties, namely,
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(I)
they constitute a Riesz basis for the relevant function space such as an energy space;
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(II)
they can be arranged to be compactly supported;
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(III)
they satisfy moment conditions up to a certain order.
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© 2001 B. G. Teubner GmbH, Stuttgart/Leipzig/Wiesbaden
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Kunoth, A. (2001). Introduction. In: Wavelet Methods — Elliptic Boundary Value Problems and Control Problems. Advances in Numerical Mathematics. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-80027-5_1
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DOI: https://doi.org/10.1007/978-3-322-80027-5_1
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-519-00327-4
Online ISBN: 978-3-322-80027-5
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