Tutorial on one-dimensional $q$-Fourier transforms
Abstract
This paper is an introductory text to the theory of $q$-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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- 10.48550/arXiv.2406.12858
- arXiv:
- arXiv:2406.12858
- Bibcode:
- 2024arXiv240612858W
- Keywords:
-
- Mathematics - Quantum Algebra;
- 81R50
- E-Print:
- 44 pages