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Construction of orthogonal multiwavelet bases

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Abstract

We propose a method for constructing orthogonal multiwavelet bases of the space L 2(ℝ) for any known multiscaling functions that generate a multiresolution analysis of dimension greater than 1.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    E. A. Pleshcheva & N. I. Chernykh

  2. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, Yekaterinburg, 620000, Russia

    N. I. Chernykh

Authors
  1. E. A. Pleshcheva
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  2. N. I. Chernykh
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Correspondence to E. A. Pleshcheva.

Additional information

Original Russian Text © E.A. Pleshcheva, N.I. Chernykh, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 1.

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Pleshcheva, E.A., Chernykh, N.I. Construction of orthogonal multiwavelet bases. Proc. Steklov Inst. Math. 288 (Suppl 1), 162–172 (2015). https://doi.org/10.1134/S0081543815020169

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  • DOI: https://doi.org/10.1134/S0081543815020169

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