Abstract
An orthogonal basis for the spaceS m r of discrete periodic splines is constructed. The wavelet decomposition of the spaceS m r form=2t is obtained using this basis. We derive recurrence formulas for the transformation from the decomposition with respect to the orthogonal basis to the wavelet decomposition, as well as recurrence formulas for the inverse transformation.
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Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 712–720, May, 2000.
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Kirushev, V.A., Malozemov, V.N. & Pevnyi, A.B. Wavelet decomposition of the space of discrete periodic splines. Math Notes 67, 603–610 (2000). https://doi.org/10.1007/BF02676332
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DOI: https://doi.org/10.1007/BF02676332