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Multivariate Cosine Wavelets

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Multivariate Approximation and Splines

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 125))

Abstract

We construct bivariate biorthogonal cosine wavelets on a two-overlapping rectangular grid with bell functions not necessary of tensor product type. The biorthogonal system as well as frame and Riesz basis conditions are given explicitly. Our methods are based on the properties of bivariate total folding and unfolding operators.

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References

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Author information

Authors and Affiliations

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

    Kai Bittner & Jürgen Prestin

  2. Center for Approximation Theory, Texas A&M University, College Station, TX, 77843-3368, USA

    Charles K. Chui

Authors
  1. Kai Bittner
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  2. Charles K. Chui
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  3. Jürgen Prestin
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Mannheim, D-68131, Mannheim, Germany

    Günther Nürnberger  & Guido Walz  & 

  2. Institut für Numerische Mathematik, Technische Universität Dresden, D-01062, Dresden, Germany

    Jochen W. Schmidt

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© 1997 Springer Basel AG

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Bittner, K., Chui, C.K., Prestin, J. (1997). Multivariate Cosine Wavelets. In: Nürnberger, G., Schmidt, J.W., Walz, G. (eds) Multivariate Approximation and Splines. ISNM International Series of Numerical Mathematics, vol 125. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8871-4_3

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  • DOI: https://doi.org/10.1007/978-3-0348-8871-4_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9808-9

  • Online ISBN: 978-3-0348-8871-4

  • eBook Packages: Springer Book Archive

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