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.
Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.