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Frames and Extension Problems I

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Fractals, Wavelets, and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 92))

Abstract

In this article we present a short survey of frame theory in Hilbert spaces. We discuss Gabor frames and wavelet frames and set the stage for a discussion of various extension principles; this will be presented in the article Frames and extension problems II (joint with H.O. Kim and R.Y. Kim).

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Building 303, 2800, Lyngby, Denmark

    Ole Christensen

Authors
  1. Ole Christensen
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Corresponding author

Correspondence to Ole Christensen .

Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Greifswald, Mecklenburg-Vorpomm., Germany

    Christoph Bandt

  2. Mathematical Sciences Institute, Australian National University, Canberra, Australia

    Michael Barnsley

  3. Math Department, Boston University, Boston, Massachusetts, USA

    Robert Devaney

  4. Mathematical Institute, University of St Andrews, St Andrews, Fife, United Kingdom

    Kenneth J. Falconer

  5. Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, India

    V. Kannan

  6. Department of Basic Sciences & Humanities, Rajagiri School of Engineering & Technology, Kerala, India

    Vinod Kumar P.B.

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© 2014 Springer International Publishing Switzerland

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Christensen, O. (2014). Frames and Extension Problems I. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_14

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