A Limit Relation for Dunkl-Bessel Functions of Type A and B
| dc.creator | Rösler, Margit | |
| dc.creator | Voit, Michael | |
| dc.date | 2008-12-03 | |
| dc.date.accessioned | 2026-07-07T12:08:48Z | |
| dc.date.available | 2026-07-07T12:08:48Z | |
| dc.description | We prove a limit relation for the Dunkl-Bessel function of type $B_N$ with multiplicity parameters $k_1$ on the roots $\pm e_i$ and $k_2$ on $\pm e_i\pm e_j$ where $k_1$ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type $A_{N-1}$ with multiplicity $k_2$. For certain values of $k_2$ an improved estimate is obtained from a corresponding limit relation for Bessel functions on matrix cones. | |
| dc.description | This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0812.0739 | |
| dc.identifier | http://arxiv.org/abs/0812.0739 | |
| dc.identifier | SIGMA 4 (2008), 083, 9 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209449 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Representation Theory | |
| dc.title | A Limit Relation for Dunkl-Bessel Functions of Type A and B | |
| dc.type | text |