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Fourier series of B-splines - MaRDI portal

Fourier series of B-splines (Q1099352)

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scientific article; zbMATH DE number 4040500
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Fourier series of B-splines
scientific article; zbMATH DE number 4040500

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    Fourier series of B-splines (English)
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    1988
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    We define the complex B-splines with equidistant knots on the unit circle via difference operators. The explicit form, in terms of the Gaussian binomial coefficients, of these B-splines are found to coincide with that of Schoenberg's. Thereafter, we obtain the Fourier series of these B- splines, which can also be written in the Schoenberg's form.
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    complex B-splines
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    difference operators
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