Non-symmetric convex domains have no basis of exponentials
| dc.creator | Kolountzakis, Mihail N. | |
| dc.date | 1999-04-14 | |
| dc.date | 1999-12-18 | |
| dc.date.accessioned | 2026-07-07T05:28:41Z | |
| dc.date.available | 2026-07-07T05:28:41Z | |
| dc.description | A conjecture of Fuglede states that a bounded measurable set $Ω$ in space, of measure 1, can tile space by translations if and only if the Hilbert space $L^2(Ω)$ has an orthonormal basis consisting of exponentials. If $Ω$ has the latter property it is called spectral. We generalize a result of Fuglede, that a triangle in the plane is not spectral, proving that every non-symmetric convex domain is not spectral. | |
| dc.identifier | https://arxiv.org/abs/math/9904064 | |
| dc.identifier | http://arxiv.org/abs/math/9904064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78352 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Metric Geometry | |
| dc.subject | 42 | |
| dc.title | Non-symmetric convex domains have no basis of exponentials | |
| dc.type | text |