English

Tutorial on one-dimensional $q$-Fourier transforms

Quantum Algebra 2024-06-21 v1

Abstract

This paper is an introductory text to the theory of qq-deformed Fourier transforms, as first discussed by Rogov and Olshanetsky. We derive the well-known results in detail, present them in a format that suits our needs, and include some new findings on specific aspects of the theory.

Cite

@article{arxiv.2406.12858,
  title  = {Tutorial on one-dimensional $q$-Fourier transforms},
  author = {Hartmut Wachter},
  journal= {arXiv preprint arXiv:2406.12858},
  year   = {2024}
}

Comments

44 pages

R2 v1 2026-06-28T17:10:46.009Z