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Using the refinement equation for the construction of pre-wavelets V: Extensibility of trigonometric polynomials

Verwendung der Verfeinerungsgleichung zur Konstruktion von Pre-Wavelets V: Erweiterbarkeit der trigonometrischen Polynome

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Abstract

In this paper we provide a method using Householder transformations to construct matrices of trigonometric series which leads to multivariate wavelet decompositions.

Zusammenfassung

In diesem Artikel entwickeln wir mit Hilfe der Householder Transformation eine Methode zur Konstruktion von Matrizen, deren Komponenten trigonometrische Reihen sind und die zu Wavelet-Zerlegungen in mehreren Unbekannten führen.

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Canada

    R. -Q. Jia

  2. IBM Research Division, T. J. Watson Research Center Mathematical Sciences Department, 10598, Yorktown Heights, NY, U.S.A.

    C. A. Micchelli

Authors
  1. R. -Q. Jia
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  2. C. A. Micchelli
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Additional information

Dedicated to Professor W. L. Miranker on the occasion of his 60th birthday

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Jia, R.Q., Micchelli, C.A. Using the refinement equation for the construction of pre-wavelets V: Extensibility of trigonometric polynomials. Computing 48, 61–72 (1992). https://doi.org/10.1007/BF02241706

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  • DOI: https://doi.org/10.1007/BF02241706

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