Fourier transforms of 𝐵-splines and fundamental splines for cardinal Hermite interpolations

Lee, S. L.

doi:10.1090/S0002-9939-1976-0420074-8

Fourier transforms of $B$-splines and fundamental splines for cardinal Hermite interpolations
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Proc. Amer. Math. Soc. 57 (1976), 291-296 Request permission

Abstract:

Using the exponential Hermite Euler splines we compute the Fourier transforms of the $B$-splines and fundamental splines for Cardinal Hermite Interpolation, introduced by Schoenberg and Sharma and Lipow and Schoenberg respectively.

References

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Cardinal interpolation and spline functions

The exponential Euler splines

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The Lebesgue constants for cardinal spline interpolation

The numerical evaluation by splines of the Fourier transform and the Laplace transform