Moment computation in shift invariant spaces

[摘要] An algorithm is given for the computation of moments off∈S, whereSis either a principalh-shift invariant space orSis a finitely generatedh-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 principalh-shift invariant spaces and finitely generatedh-shift invariant spaces. Applications to wavelet/multiwavelet spaces are presented.

[学科分类] 应用数学