On a <f>q</f>-Paley–Wiener theorem

After the analysis of the <f>q</f>-even translation and the <f>q</f>-cosine Fourier transform by A. Fitouhi and F. Bouzeffour in [<f>q</f>-cosine Fourier transform and <f>q</f>-heat equation, Ramanujan J., in press], it is natural to look for the <f>q</f>-analogue of some well-known classical theorems. In this paper, we purpose to give a <f>q</f>-version of the Paley–Wiener theorem related to this Fourier transform using standard methods of the <f>q</f>-calculus. [Copyright &y& Elsevier]