Abstract
We give the solution of the Delsarte extremal problem for even entire functions of exponential type that are Jacobi transforms and prove the uniqueness of the extremal function. The quadrature Markov formula on the half-line with zeros of the modified Jacobi function are used.
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Gorbachev, D.V., Ivanov, V.I. & Smirnov, O.I. The Delsarte extremal problem for the Jacobi transform. Math Notes 100, 677–686 (2016). https://doi.org/10.1134/S0001434616110043
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DOI: https://doi.org/10.1134/S0001434616110043