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：
暂无
中图分类号：
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.
引用
收藏
页码：677 / 686
页数：9
相关论文
共 50 条
  • [1] The Delsarte extremal problem for the Jacobi transform
    Gorbachev, D. V.
    Ivanov, V. I.
    Smirnov, O. I.
    MATHEMATICAL NOTES, 2016, 100 (5-6) : 677 - 686
  • [2] Bohman Extremal Problem for the Jacobi Transform
    Gorbachev, D. V.
    Ivanov, V. I.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 300 : 88 - 96
  • [3] Bohman Extremal Problem for the Jacobi Transform
    D. V. Gorbachev
    V. I. Ivanov
    Proceedings of the Steklov Institute of Mathematics, 2018, 300 : 88 - 96
  • [4] Bohman extremal problem for the Jacobi transform
    Gorbachev, D., V
    Ivanov, V. I.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (04): : 126 - 135
  • [5] On the existence of an extremal function for the Delsarte extremal problem
    Ramabulana, M. D.
    ANALYSIS MATHEMATICA, 2025, : 279 - 291
  • [6] On the Existence of an Extremal Function in the Delsarte Extremal Problem
    Gaal, Marcell
    Nagy-Csiha, Zsuzsanna
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (06)
  • [7] On the Existence of an Extremal Function in the Delsarte Extremal Problem
    Marcell Gaál
    Zsuzsanna Nagy-Csiha
    Mediterranean Journal of Mathematics, 2020, 17
  • [8] An extremal problem for generalized Jacobi polynomials
    Ismail, MEH
    PROCEEDINGS OF THE MATHEMATICS CONFERENCE, 2000, : 139 - 145
  • [9] Delsarte's extremal problem and packing on locally compact Abelian groups
    Berdysheva, Elena E.
    Revesz, Szilard G. Y.
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2023, 24 (02) : 1007 - 1052
  • [10] TURAN'S AND FEJER'S EXTREMAL PROBLEMS FOR JACOBI TRANSFORM
    Gorbachev, D. V.
    Ivanov, V. I.
    ANALYSIS MATHEMATICA, 2018, 44 (04) : 419 - 432
12345