Moment computation in shift invariant spaces

David A. Eubanks, Patrick J. van Fleet and Jianzhong Wang

International Journal of Stochastic Analysis, 1998, vol. 11, 1-15

Abstract:

An algorithm is given for the computation of moments of f ∈ S , where S is either a principal h -shift invariant space or S is a finitely generated h -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 h -shift invariant spaces and finitely generated h -shift invariant spaces. Applications to wavelet/multiwavelet spaces are presented.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:732838

DOI: 10.1155/S1048953398000380

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