Interpolation by complex splines

Tzimbalario, J.

doi:10.1090/S0002-9947-1978-0502903-9

Interpolation by complex splines
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Trans. Amer. Math. Soc. 243 (1978), 213-222 Request permission

Abstract:

In this paper we solve the problem of interpolation by certain class of cardinal complex splines. This solution is used to complete the study of cardinal trigonometric splines started in [10] and also to give shorter proofs and to complete the results found for the interpolation problem by complex splines over the unit circle by I. J. Schoenberg [9], J. H. Ahlberg, E. N. Nilson and J. L. Walsh [1].

References

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J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, Complex cubic splines, Trans. Amer. Math. Soc. 129 (1967), 391–413. MR 217484, DOI 10.1090/S0002-9947-1967-0217484-X
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Cardinal $\mathcal {L}$-splines

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Cardinal spline interpolation

On polynomial spline functions on the unit circle

A. Sharma and J. Tzimbalario, A class of cardinal trigonometric splines, SIAM J. Math. Anal. 7 (1976), no. 6, 809–819. MR 417633, DOI 10.1137/0507062