The minimal representation of the conformal group and classic solutions to the wave equation
| dc.creator | Hunziker, Markus | |
| dc.creator | Sepanski, Mark R. | |
| dc.creator | Stanke, Ronald J. | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:30:32Z | |
| dc.date.available | 2026-07-07T12:30:32Z | |
| dc.description | We give a uniform realization of the minimal representation of a double cover of the conformal group SO(2,n+1)_0 in the kernel of the wave operator on flat Minkowski space as a positive energy representation H^+ for n even and odd. Using this realization, we obtain an explicit orthonormal basis for H^+ that is well behaved with respect to energy and angular momentum. Of special note, for n odd, all functions in our basis are rational functions. Finally, using Fourier analysis with respect to this basis, we prove that every classical real-valued solution to the wave equation is the real part of a unique continuous element in the representation H^+. | |
| dc.description | 13 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0901.2280 | |
| dc.identifier | http://arxiv.org/abs/0901.2280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216158 | |
| dc.subject | Representation Theory | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 22E46; 43A80 | |
| dc.title | The minimal representation of the conformal group and classic solutions to the wave equation | |
| dc.type | text |