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Moment computation in shift invariant spaces

Author

Listed:
  • David A. Eubanks
  • Patrick J. van Fleet
  • Jianzhong Wang

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.

Suggested Citation

  • David A. Eubanks & Patrick J. van Fleet & Jianzhong Wang, 1998. "Moment computation in shift invariant spaces," International Journal of Stochastic Analysis, Hindawi, vol. 11, pages 1-15, January.
    • Handle: RePEc:hin:jnijsa:732838
    DOI: 10.1155/S1048953398000380
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