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Moment computation in shift invariant spaces

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Author(s): David A. Eubanks | Patrick J. van Fleet | Jianzhong Wang

Journal: Journal of Applied Mathematics and Stochastic Analysis
ISSN 1048-9533

Volume: 11;
Issue: 4;
Start page: 465;
Date: 1998;
Original page

Keywords: (principal) h-shift invariant space | finitely generated h-shift invariant space | moment | Marsden's identity | wavelet | multiwavelet.

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.

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