Fourier series of B-splines (Q1099352)

From MaRDI portal





scientific article; zbMATH DE number 4040500
Language Label Description Also known as
English
Fourier series of B-splines
scientific article; zbMATH DE number 4040500

    Statements

    Fourier series of B-splines (English)
    0 references
    0 references
    1988
    0 references
    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.
    0 references
    complex B-splines
    0 references
    difference operators
    0 references
    0 references
    0 references
    0 references

    Identifiers