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Markov chains and generalized wavelet multiresolutions

  • Wavelet Analysis
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Abstract

We develop some new results for a general class of transfer operators, as they are used in a construction of multi-resolutions. We then proceed to give explicit and concrete applications. We further discuss the need for such a constructive harmonic analysis/dynamical systems approach to fractals.

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Acknowledgements

We thank Professors Dorin Dutkay, Gabriel Picioroaga and Judy Packer for helpful discussions.

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Authors and Affiliations

  1. Department of Mathematics, The University of Iowa, 14 MacLean Hall, Iowa City, IA, 52242, USA

    Palle E. T. Jorgensen

  2. Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Box 1653, Science Building, Edwardsville, IL, 62026, USA

    Myung-Sin Song

Authors
  1. Palle E. T. Jorgensen
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  2. Myung-Sin Song
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Correspondence to Myung-Sin Song.

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Jorgensen, P.E.T., Song, MS. Markov chains and generalized wavelet multiresolutions. J Anal 26, 259–283 (2018). https://doi.org/10.1007/s41478-018-0139-9

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  • DOI: https://doi.org/10.1007/s41478-018-0139-9

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