| EPSRC Reference: |
EP/F020341/1 |
| Title: |
Operator theory in function spaces on finitely-connected domains |
| Principal Investigator: |
Partington, Professor JR |
| Other Investigators: |
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| Department: |
Pure Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research |
| Starts: |
05 December 2007 |
Ends: |
04 December 2009 |
Value (£): |
16,314
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We propose to study spaces of complex functions defined on regions such as the annulus (a region between two circles) and the shell (a region between two spheres). The project has two components. First, there is a very theoretical part which enables us to understand better the functions in these spaces by considering certain transformations acting on them. Second, there is a part that is motivated by applications -- by means of an approximation technique, it is proposed to provide a framework for recovering data from incomplete and noisy measurements on the boundary of a region. Although our contribution is largely theoretical, it will form the basis of numerical algorithms, which will be of interest to people working in engineering problems (such as fault detection in pipes) and medical problems (in particular, brain scanning).
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.leeds.ac.uk |