Journal of Mathematical Sciences

, Volume 166, Issue 3, pp 282–299 | Cite as

On one version of wavelet decompositions of spaces of polynomial splines

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We study wavelet decompositions of the spaces of polynomial splines of order m on nonuniform grids, constructed via projections of Lagrange type. Bibliography: 3 titles.

Keywords

Wavelet Decomposition Polar Form Nonuniform Grid Polynomial Spline Vandermonde Determinant 
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References

  1. 1.
    I. Ya. Novikov, V. Yu. Protasov, M. A. Skopina, Wavelet Theory [in Russian], Fizmatlit, Moscow (2005).Google Scholar
  2. 2.
    Yu. S. Zav’yalov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline-Functions [in Russian], Nauka, Moscow (1980).MATHGoogle Scholar
  3. 3.
    V. N. Malozemov, A. N. Sergeev, “Analytic fundamentals of the theory of polar forms” [in Russian], Algebra Anal. 10, No. 6, 156–185 (1998); English transl.: St. Petersbg. Math. J. 10, No. 6, 1015–1036 (1999).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St. Petersburg State University 28St. PetersburgRussia

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