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The Delsarte extremal problem for the Jacobi transform.

Authors :
Gorbachev, D.
Ivanov, V.
Smirnov, O.
Source :
Mathematical Notes. Nov2016, Vol. 100 Issue 5/6, p677-686. 10p.
Publication Year :
2016

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00014346
Volume :
100
Issue :
5/6
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
120384522
Full Text :
https://doi.org/10.1134/S0001434616110043