David A. Eubanks, Patrick J. van Fleet, Jianzhong Wang, "Moment computation in shift invariant spaces", International Journal of Stochastic Analysis, vol. 11, Article ID 732838, 15 pages, 1998. https://doi.org/10.1155/S1048953398000380
Moment computation in shift invariant spaces
An algorithm is given for the computation of moments of , where is either a principal -shift invariant space or is a finitely generated -shift invariant space. An error estimate for the rate of convergence of our scheme is also presented. In so doing, we obtain a result for computing inner products in these spaces. As corollaries, we derive Marsden-type identities for principal -shift invariant spaces and finitely generated -shift invariant spaces. Applications to wavelet/multiwavelet spaces are presented.
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