The Delsarte extremal problem for the Jacobi transform

D. V. Gorbachev; V. I. Ivanov; O. I. Smirnov

doi:10.1134/S0001434616110043

The Delsarte extremal problem for the Jacobi transform

Authors: Gorbachev D.V.¹, Ivanov V.I.¹, Smirnov O.I.¹
Affiliations:
1. Tula State University
Issue: Vol 100, No 5-6 (2016)
Pages: 677-686
Section: Article
URL: https://journals.rcsi.science/0001-4346/article/view/149840
DOI: https://doi.org/10.1134/S0001434616110043
ID: 149840

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

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.