Biorthogonal Spline Wavelets on the Interval
Kai Bittner · 2005
Dedicated to Charles Chui on the occasion of his 65th birthday Abstract. We investigate biorthogonal spline wavelets on the interval. We give sufficient and necessary conditions for the reconstruction and decomposition matrices to be sparse. Furthermore, we give numerical estimates for the Riesz stability of such bases. In [7], Dahmen, Kunoth, and Urban introduced locally supported spline wavelets for the interval with locally supported dual wavelets. These wavelet bases consist of the biorthogonal spline wavelets of Cohen, Daubechies, and Feauveau [5] as ‘inner wavelets’, supplemented by boundary