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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Interpolation by complex splines


Author: J. Tzimbalario
Journal: Trans. Amer. Math. Soc. 243 (1978), 213-222
MSC: Primary 41A15
MathSciNet review: 502903
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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].


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DOI: https://doi.org/10.1090/S0002-9947-1978-0502903-9
Keywords: Cardinal complex splines, Euler-Frobenius polynomials
Article copyright: © Copyright 1978 American Mathematical Society