A Unique Continuation Result for Klein-Gordon Bisolutions on a 2-dimensional Cylinder
| dc.creator | Fewster, C. J. | |
| dc.date | 1998-04-03 | |
| dc.date.accessioned | 2026-07-07T11:34:24Z | |
| dc.date.available | 2026-07-07T11:34:24Z | |
| dc.description | We prove a novel unique continuation result for weak bisolutions to the massive Klein-Gordon equation on a 2-dimensional cylinder M. Namely, if such a bisolution vanishes in a neighbourhood of a `sufficiently large' portion of a 2-dimensional surface lying parallel to the diagonal in the product manifold of M with itself, then it is (globally) translationally invariant. The proof makes use of methods drawn from Beurling's theory of interpolation. An application of our result to quantum field theory on 2-dimensional cylinder spacetimes will appear elsewhere. | |
| dc.description | LaTeX2e, 9 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9804011 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9804011 | |
| dc.identifier | Class.Quant.Grav.16:789-796,1999 | |
| dc.identifier | doi:10.1088/0264-9381/16/3/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198238 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A Unique Continuation Result for Klein-Gordon Bisolutions on a 2-dimensional Cylinder | |
| dc.type | text |