[Conditions de Lipschitz pour la transformée de Fourier discrète généralisée associée à l'opérateur de Jacobi sur [0,π]]
L'objectif de cette Note est de prouver un analogue du théorème de Titchmarsh sur l'image sous la transformée de Fourier–Jacobi discrète d'un jeu de fonctions satisfaisant une condition de Lipschitz généralisée dans l'espace .
Our aim in this paper is to prove an analog of the classical Titchmarsh theorem on the image under the discrete Fourier–Jacobi transform of a set of functions satisfying a generalized Lipschitz condition in the space .
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@article{CRMATH_2017__355_3_318_0,
author = {El Ouadih, Salah and Daher, Radouan},
title = {Lipschitz conditions for the generalized discrete {Fourier} transform associated with the {Jacobi} operator on [0,\protect\emph{\ensuremath{\pi}}]},
journal = {Comptes Rendus. Math\'ematique},
pages = {318--324},
publisher = {Elsevier},
volume = {355},
number = {3},
year = {2017},
doi = {10.1016/j.crma.2017.01.017},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.01.017/}
}
TY - JOUR AU - El Ouadih, Salah AU - Daher, Radouan TI - Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0,π] JO - Comptes Rendus. Mathématique PY - 2017 SP - 318 EP - 324 VL - 355 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.01.017/ DO - 10.1016/j.crma.2017.01.017 LA - en ID - CRMATH_2017__355_3_318_0 ER -
%0 Journal Article %A El Ouadih, Salah %A Daher, Radouan %T Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0,π] %J Comptes Rendus. Mathématique %D 2017 %P 318-324 %V 355 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.01.017/ %R 10.1016/j.crma.2017.01.017 %G en %F CRMATH_2017__355_3_318_0
El Ouadih, Salah; Daher, Radouan. Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0,π]. Comptes Rendus. Mathématique, Tome 355 (2017) no. 3, pp. 318-324. doi : 10.1016/j.crma.2017.01.017. http://www.numdam.org/articles/10.1016/j.crma.2017.01.017/
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