| EPSRC Reference: |
GR/M14272/01 |
| Title: |
HARMONIC FUNCTIONS ON GROUPS AND FOURIER ALGEBRAS |
| Principal Investigator: |
Chu, Professor C |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Computing Department |
| Organisation: |
Goldsmiths College |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
07 April 1998 |
Ends: |
06 May 1999 |
Value (£): |
1,730
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The Visiting Fellow will carry out joint research with the Investigator and the first task is to study the Poisson space associated to a bounded complex measure on a locally compact group and in particular, to derive its semigroup properties, for instance, the existence of idempotents and minimal ideals. Some concrete examples will be worked out and comparison will be made with various existing integral representations of harmonic functions. The second task is to investigate in detail the analytic and algebraic structures of the predual of the space of bounded harmonic functions. The question of finite-dimensionality will also be tackled. The third task is to develop an analogous theory in the context of Fourier algebras and group von Neumann algebras. This will involve studying certain quotients of Fourier algebras and their duals. The Visiting Fellow and the Investigator will write a substantial paper on all of the above findings.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.gold.ac.uk |