The $q$-Fourier transform of $q$-distributions
Abstract
Description
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.
18 pages, latex, typos corrected, added references
18 pages, latex, typos corrected, added references