Moment computation in shift invariant spaces. (1998)

• Record Type: Journal Article
• Authors: Eubanks, David A.; van Fleet, Patrick J.; Wang, Jianzhong
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 11:Number 4(1998)
• Page Start: 465
• Page End: 479
• Publication Date: 1998
• Subjects: (principal) h-shift invariant space -- finitely generated h-shift invariant space -- moment -- Marsden's identity -- wavelet -- multiwavelet; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953398000380
• Languages: English
• ISSNs: 1048-9533

Abstract

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.