Skip to main content
Log in

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

  • Published:
Computing Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Folland, G. B.: Real analysis. New York: John Wiley & Sons 1984.

    Google Scholar 

  2. Guillemin, V., Pollack, A.: Differential topology. Englewood Cliffs, New Jersey: Prentice-Hall, 1974.

    Google Scholar 

  3. Hocking, J. G., Young, G. S.: Topology. Massachusetts: Addison Wisley 1961.

    Google Scholar 

  4. Jia, R. Q., Micchelli, C. A.: Using the refinement equation for the construction of pre-wavelets II: Powers of two. In: Laurent, P. J., Le Méhauté, A., Schumaker, L. L., (eds.). Curves and surfaces. New York: Academic Press 1991, pp. 209–246.

    Google Scholar 

  5. Micchelli, C. A.: Using the refinement equation for the construction of pre-wavelets. Numer. Algorith.1, 75–116 (1991).

    Google Scholar 

  6. Stoer, J., Bulirsch, R.: Introduction to numerical analysis. Berlin, Heidelberg, New York, Tokyo: Springer 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

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

AMS Subject Classification

Key words

Navigation