Embedding and wavelet decomposition of spaces of minimal splines |
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Authors: | Yu K Dem’yanovich |
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Institution: | (1) St.Petersburg State University, Russia |
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Abstract: | On a sequence of embedded nonuniform grids, chains of embedded spaces of minimal splines (not necessarily polynomial) are
constructed. The wavelet decomposition is given. The basis wavelets are compactly supported and admit simple analytic representation.
The corresponding decomposition and reconstruction formulas are derived. The variety of spaces under consideration is identified
with the variety of complete sequences of points of the direct product of an interval and a projective plane. Bibliography:
20 titles.
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Translated from Problemy Matematicheskogo Analiza, No. 35, 2007, pp. 15–31 |
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Keywords: | |
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