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Journal of Mathematical Sciences

, Volume 207, Issue 5, pp 736–752 | Cite as

Spline-Wavelet Decomposition on an Interval

  • Yu. K. Dem’yanovichEmail author
  • B. G. Vager
Article
  • 29 Downloads

For spline-wavelet representations of the second-order on an interval, conditions under which decomposition operators are independent of the order of elementary operations are established. The notion of k-localized systems of functionals is introduced, and the operator set in which the embedding operator possesses a unique left inverse is studied. Bibliography: 3 titles.

Keywords

Column Vector Coarsened Grid Linear Independence Elementary Operation Spline Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Yu. K. Dem’yanovich and O. M. Kosogorov, “Calibration relations for nonpolynomial splines,” Probl. Matem. Anal., 43, 3–19 (2009).Google Scholar
  2. 2.
    Yu. K. Dem’yanovich, “Nonsmooth spline-wavelet expansions and their properties,” Zap. Nauchn. Semin. POMI, 395, 31–60 (2012).MathSciNetGoogle Scholar
  3. 3.
    Yu. K. Dem’yanovich, The Theory of Spline - Wavelets [in Russian], SPbGU, St. Petersburg (2013).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.St.Petersburg State UniversitySt.PetersburgRussia
  2. 2.St.Petersburg State Architecture-Building UniversitySt.PetersburgRussia

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