A Paley-Wiener theorem for the $Θ$-spherical transform: the even multiplicity case
| dc.creator | Olafsson, Gestur | |
| dc.creator | Pasquale, Angela | |
| dc.date | 2003-04-23 | |
| dc.date.accessioned | 2026-07-07T04:57:18Z | |
| dc.date.available | 2026-07-07T04:57:18Z | |
| dc.description | The $Θ$-spherical functions generalize the spherical functions on Riemannian symmetric spaces and the spherical functions on non-compactly causal symmetric spaces. In this article we consider the case of even multiplicity functions. We construct a differential shift operator $D_m$ with smooth coefficients which generates the $Θ$-spherical functions from finite sums of exponential functions. We then use this fact to prove a Paley-Wiener theorem for the $Θ$-spherical transfrom. | |
| dc.identifier | https://arxiv.org/abs/math/0304361 | |
| dc.identifier | http://arxiv.org/abs/math/0304361 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67215 | |
| dc.subject | Functional Analysis | |
| dc.subject | 33C67, 43A90, 43A85 | |
| dc.title | A Paley-Wiener theorem for the $Θ$-spherical transform: the even multiplicity case | |
| dc.type | text |