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On the Effective Construction of Compactly Supported Wavelets Satisfying Homogeneous Boundary Conditions on the Interval

✍ Scribed by G. Chiavassa; J. Liandrat


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
344 KB
Volume
4
Category
Article
ISSN
1063-5203

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✦ Synopsis


We construct compactly supported wavelet bases satisfying homogeneous boundary conditions on the interval [0, 1]. The maximum features of multiresolution analysis on the line are retained, including polynomial approximation and tree algorithms. The case of H 1 0 ([0, 1]) is detailed and numerical values, required for the implementation, are provided for the Neumann and Dirichlet boundary conditions.