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Journal of Mathematical Sciences

, Volume 224, Issue 6, pp 833–860 | Cite as

Realization of the Spline-Wavelet Decomposition of the First Order

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The aim of the paper is to present an orthogonal basis for the discrete wavelets in the general structure of the spline-wavelet decomposition. Decomposition of an original numerical flow without embedding in the standard functional spaces is discussed. It makes it possible to concentrate on simplification of the realization formulas: here, the simple formulas of decomposition and reconstruction are presented, an orthogonal wavelet basis is constructed, and an illustrative example is given. Finally, some estimates of the complexity of the method discussed for different software environments are provided. Bibliography: 6 titles.

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    Yu. K. Demyanovich, Theory of Spline-Wavelets [in Russian], St.Petersburg Univ. Press (2013).Google Scholar
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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.St.Petersburg State UniversitySt.PetersburgRussia
  2. 2.St.Petersburg State UniversitySt.PetersburgRussia

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