%0 Journal Article
%T The $q$-Fourier transform of $q$-distributions
%A M. Olshanetsky
%A V. Rogov
%J Mathematics
%D 1997
%I arXiv
%X We consider functions on the lattice generated by the integer powers of $q^2$ for $0<q<1$ and construct the $q$-analog of Fourier transform based on the Jackson integral in the space of distributions on the lattice.
%U http://arxiv.org/abs/q-alg/9712055v2