On the braided Fourier transform in the n-dimensional quantum space
| dc.creator | Carnovale, Giovanna | |
| dc.date | 1998-10-02 | |
| dc.date.accessioned | 2026-07-07T05:26:17Z | |
| dc.date.available | 2026-07-07T05:26:17Z | |
| dc.description | We work out a theory of integrability on the braided covector Hopf algebra and braided vector Hopf algebra of type A_n as introduced by Kempf and Majid. Starting by their definition of braided Fourier transform we prove n-dimensional analogues to results by Koornwinder expressing the correspondence between products of q^2-Gaussians times monomials and products of q^2-Gaussians times q^2-Hermite polynomials under the transform. We invert the correspondence finding a suitable inverse to the transform, different from that by Kempf and Majid (our integral is not bosonic) and we show that in this case the (q-)Plancherel measure will depend on the parity of the generalized functions that we are transforming. | |
| dc.description | Plain TeX, 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/9810011 | |
| dc.identifier | http://arxiv.org/abs/math/9810011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77492 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | On the braided Fourier transform in the n-dimensional quantum space | |
| dc.type | text |