Biorthogonal multiresolution analyses and decompositions of Sobolev spaces

Abdellatif Jouini and Khalifa Trimèche

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-18

Abstract:

The object of this paper is to construct extension operators in the Sobolev spaces H k ( ] − ∞ , 0 ] ) and H k ( [ 0 , + ∞ [ ) ( k ≥ 0 ) . Then we use these extensions to get biorthogonal wavelet bases in H k ( ℝ ) . We also give a construction in L 2 ( [ − 1 , 1 ] ) to see how to obtain boundaries functions.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:369018

DOI: 10.1155/S0161171201010936

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