Characterization of the Zygmund Space by Shifted B-Splines |
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| Authors: | Peter Wingren |
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| Affiliation: | Department of Mathematics, University of Umeå, S-901 87, Umeå, Swedenf1 |
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| Abstract: | A method to decompose real valued continuous functions defined on R is put forward. The decomposition is by infinite linear combinations of B-splines. It is proved that a necessary and sufficient condition for a function to be in the Zygmund space is that the corresponding sequence of coefficients be in the sequence space ℓ∞. |
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| Keywords: | Zygmund space B-spline |
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