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Details can be found in the articles:

E.B. Postnikov. Evaluation of a Continuous Wavelet Transform by Solving the Cauchy Problem for a System of Partial Differential Equations. Computational Mathematics and Mathematical Physics. 2006. V. 46. Iss.1. pp. 73-78.

E.B. Postnikov, A.Yu. Loskutov. Analysis of Small-Scale Wave Structures in the Saturnian A Ring Based on Data from the Cassini Interplanetary Spacecraft. Journal of Experimental and Theoretical Physics. 2005. V. 101. No. 4. pp. 646-652.

E.B. Postnikov, A.Yu. Loskutov. Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft. Journal of Experimental and Theoretical Physics. 2007. V. 104. No. 3. pp. 417-422.