Investigation of spectral properties of q-difference operators
Lead Research Organisation:
Cardiff University
Department Name: Computer Science
Abstract
The project is to develop further recent work of the applicants with theVF on the spectral theory of q-difference operators. These operators have some properties that are seen in both differential and difference operators but also have entirely new charecteristics.We have comenced a research programme that studies the eigenvaluebranches and other spectral questions for these operators (see case for suport) and we request travel funds for two one month visits to Cardiff for the VF to further this research.
Publications
Brown B
(2008)
Spectral Properties of a q-Sturm-Liouville Operator
in Communications in Mathematical Physics
| Description | new spectral properties which seem to be a feature of this type of operator |
| Exploitation Route | It would be interesting to see the class of operators that have these properties |
| Sectors | Electronics |
| Description | The outputs have been used as the b axis for academic talks |
| First Year Of Impact | 2004 |
| Sector | Electronics |
| Impact Types | Cultural |
| Description | q difference operators |
| Organisation | Copenhagen University Hospital |
| Country | Denmark |
| Sector | Academic/University |
| PI Contribution | joint work of the team and of the visitor (Dr Christionson) |
| Collaborator Contribution | joint work |
| Impact | paper as detailed |