The Delsarte extremal problem for the Jacobi transform

被引：0
|
作者：
D. V. Gorbachev
V. I. Ivanov
O. I. Smirnov
机构：
[1] Tula State University,
来源：
Mathematical Notes | 2016年 / 100卷
关键词：
Delsarte extremal problem; Jacobi transform; hyperbolic weight; Jacobi function; quadrature Markov formula;
D O I：
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学科分类号：
摘要：
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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页码：677 / 686
页数：9
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