Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
In this paper, we develop a framework suitable for performing a multiresolution analysis using univariate spline spaces of arbitrary degree and with non-uniform knot-sequences. To this end, we show, among other things, the existence of compactly supported prewavelets and of prewavelets that are globally supported, but decay exponentially. In each case we obtain a decomposition of a fine spline space as a sum of a coarse spline space plus a spline space spanned by prewavelets. © 1992 Springer-Verlag.
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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