Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity
Ojanen, Harri
arXiv, 9807089 / Harvested from arXiv
Text on arXiv
Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (pi/2,\pi). The results improve those obtained by I. Daubechies [Comm. Pure Appl. Math. 41 (1988), 909-996], H. Volkmer [SIAM J. Math. Anal. 26 (1995), 1075-1087], and P. G. Lemarie-Rieusset and E. Zahrouni [Appl. Comput. Harmon. Anal. 5 (1998), 92-105].
Publié le : 1998-07-16
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  42C15 
@article{9807089,
     author = {Ojanen, Harri},
     title = {Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807089}
}

Ojanen, Harri. Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807089/