- Konuralp Journal of Mathematics
- Vol: 5 Issue: 1
- $Q$-FOURIER LIPSCHITZ FUNCTIONS FOR THE GENERALIZED FOURIER TRANSFORM IN SPACE $L^{2}_{Q}(\mathbb{R}...
$Q$-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
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 $L^{2}_{Q}(\mathbb{R})$.Keywords : Generalized Fourier transform, Differential-difference operator, Generalized dual translation operator.