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Approximation Theory, Wavelets and Applications pp 423–432Cite as

Non-smooth Wavelets: Graphing functions unbounded on every interval

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Part of the book series: NATO Science Series ((ASIC,volume 454))

Abstract

Several wavelets from well known biorthogonal families are shown to be unbounded on every interval. One, in fact, is shown to be infinite at each dyadic rational. Not withstanding these facts, we show how to compute exact values for these wavelets at many points and thus achieve exact pictures for these functions.

Research and software development partially supported by NASA SBIR Phase II contract NAS13–587 awarded to StatSci.

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References

  1. A. Cohen, I. Daubechies, and J. C. Faveau, “Biorthogonal bases of compactly supprted wavelets,” Comm. Pure Appl. Math., vol. 45, pp. 485–560, 1992.

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Author information

Authors and Affiliations

  1. Department of Mathematics, GN-50, University of Washington, Seattle, Washington, 98195, USA

    David L. Ragozin

  2. StatSci, A Division of Mathsoft, 1700 Westlake Ave. N., Suite 500, Seattle, Washington, 98109, USA

    Andrew Bruce & Hong-Ye Gao

Authors
  1. David L. Ragozin
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  2. Andrew Bruce
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  3. Hong-Ye Gao
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Editor information

Editors and Affiliations

  1. Memorial University of Newfoundland, St. John’s, Newfoundland, Canada

    S. P. Singh

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© 1995 Springer Science+Business Media Dordrecht

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Ragozin, D.L., Bruce, A., Gao, HY. (1995). Non-smooth Wavelets: Graphing functions unbounded on every interval. In: Singh, S.P. (eds) Approximation Theory, Wavelets and Applications. NATO Science Series, vol 454. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8577-4_27

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  • DOI: https://doi.org/10.1007/978-94-015-8577-4_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4516-4

  • Online ISBN: 978-94-015-8577-4

  • eBook Packages: Springer Book Archive

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