English

The $q$-Fourier transform of $q$-distributions

q-alg 2007-05-23 v2 Quantum Algebra

Abstract

We consider functions on the lattice generated by the integer powers of q2q^2 for 0<q<10<q<1 and construct the qq-analog of Fourier transform based on the Jackson integral in the space of distributions on the lattice.

Keywords

Cite

@article{arxiv.q-alg/9712055,
  title  = {The $q$-Fourier transform of $q$-distributions},
  author = {M. Olshanetsky and V. Rogov},
  journal= {arXiv preprint arXiv:q-alg/9712055},
  year   = {2007}
}

Comments

18 pages, latex, typos corrected, added references