Comptes Rendus
no. 3
Harmonic analysis
Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0,π]
[Conditions de Lipschitz pour la transformée de Fourier discrète généralisée associée à l'opérateur de Jacobi sur [0,π]]

Présenté par : the Editorial Board

Salah El Ouadih1 ; Radouan Daher1
1 Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca, Morocco
Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 318-324.

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 L2(α,β).

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 L2(α,β).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.017

Salah El Ouadih 1 ; Radouan Daher 1

1 Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca, Morocco 
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Salah El Ouadih; Radouan Daher. Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0,π]. Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 318-324. doi : 10.1016/j.crma.2017.01.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.01.017/

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