Chui, Ch. K.; De Villiers, J. M. Spline-wavelets with arbitrary knots on a bounded interval: orthogonal decomposition and computational algorithms. (English) Zbl 0903.65012 Commun. Appl. Anal. 2, No. 4, 457-486 (1998). The authors present a general framework for orthogonal decomposition and reconstruction of finite-dimensional Hilbert spaces. These results are used further to the case of polynomial spline spaces for arbitrary knot sequences on a bounded interval. The authors construct dual wavelets, obtain decomposition matrices and formulate a duality principle. Reviewer: Drumi Bainov (Sofia) Cited in 4 Documents MSC: 65D07 Numerical computation using splines 41A15 Spline approximation Keywords:spline-wavelets; arbitrary knots; algorithms; orthogonal decomposition; reconstruction; Hilbert spaces; polynomial spline spaces PDFBibTeX XMLCite \textit{Ch. K. Chui} and \textit{J. M. De Villiers}, Commun. Appl. Anal. 2, No. 4, 457--486 (1998; Zbl 0903.65012)