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Trigonometric interpolation and wavelet decompositions

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Abstract

The aim of this paper is to describe explicit decomposition and reconstruction algorithms for nested spaces of trigonometric polynomials. The scaling functions of these spaces are defined as fundamental polynomials of Lagrange interpolation. The interpolatory conditions and the construction of dual functions are crucial for the approach presented in this paper.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Rostock, Universitätsplatz 1, D-18051, Rostock, Germany

    J. Prestin

  2. Center for Approximation Theory, Department of Mathematics, Texas A&M University, 77843, College Station, TX, USA

    E. Quak

Authors
  1. J. Prestin
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  2. E. Quak
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Additional information

Communicated by C. Brezinski

This paper was completed while the first author visited the Center for Approximation Theory, Texas A&M University. Research partially supported by Deutsche Forschungsgemeinschaft.

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Prestin, J., Quak, E. Trigonometric interpolation and wavelet decompositions. Numer Algor 9, 293–317 (1995). https://doi.org/10.1007/BF02141593

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  • DOI: https://doi.org/10.1007/BF02141593

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