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2-Adic wavelet bases

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Abstract

Within the theory of multiresolution analysis, a method of constructing 2-adic wavelet systems that form Riesz bases in L 2(ℚ2) is developed. A realization of this method for some infinite family of multiresolution analyses leading to nonorthogonal Riesz bases is presented.

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Authors and Affiliations

  1. St. Petersburg Department of Steklov Institute of Mathematics, nab. Fontanka 27, St. Petersburg, 191023, Russia

    S. A. Evdokimov

  2. Department of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr. 35, Petrodvorets, St. Petersburg, 198504, Russia

    M. A. Skopina

Authors
  1. S. A. Evdokimov
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  2. M. A. Skopina
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Correspondence to S. A. Evdokimov.

Additional information

Original Russian Text © S.A. Evdokimov, M.A. Skopina, 2009, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Vol. 15, No. 1.

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Evdokimov, S.A., Skopina, M.A. 2-Adic wavelet bases. Proc. Steklov Inst. Math. 266 (Suppl 1), 143–154 (2009). https://doi.org/10.1134/S008154380906011X

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  • DOI: https://doi.org/10.1134/S008154380906011X

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