$Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R})$

Authors : S. El OUADIH, R. DAHER

Pages : 99-105

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Publication Date : 2017-04-01

Article Type : Research Paper

Abstract :In this paper, we prove the generalization of Titchmarsh`s theorem for the generalized Fourier transform for functions satisfying the $Q$-Fourier Lipschitz condition in the space $L^{2}_{Q}insert ignore into journalissuearticles values(\mathbb{R});$.
Keywords : Generalized Fourier transform, Differential difference operator, Generalized dual translation operator