Abstract
In this paper, we study some remarkable spaces of
space of the q-tempered distribution introduced by M.A. Olshanetsky and V.B.K. Rogov [14], namely the q-analogue of the pseudo-measure
, the q-function of the positive type
, and we give a q-version of the Bochner-Shwartz theorem related to q-cosine Fourier transform.