| EPSRC Reference: |
EP/M009475/1 |
| Title: |
Spectral theory of Toeplitz and Wiener-Hopf operators |
| Principal Investigator: |
Shargorodsky, Professor E |
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| Department: |
Mathematics |
| Organisation: |
Kings College London |
| Scheme: |
Standard Research |
| Starts: |
18 August 2014 |
Ends: |
17 February 2015 |
Value (£): |
32,405
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
There are at least two reasons for the continuous and increasing interest in the Riemann-Hilbert problem, Toeplitz and Wiener-Hopf operators. The first one is that the methods of the Riemann-Hilbert problem represent a universal and a most powerful tool that has been applied to a wide variety of problems in elasticity theory, fluid dynamics, physics, geometry, combinatorics, integrable systems, orthogonal polynomials, random matrices, probability and stochastic processes, information and control theory, and in many other fields. On the other hand, Toeplitz and Wiener-Hopf operators constitute one of the most important classes of non-self-adjoint operators with a very rich spectral theory, which utilizes methods of operator theory, function theory and the theory of Banach algebras.
We intend to achieve a breakthrough in the study of a very wide class of Toeplitz operators. We also intend to make a major contribution to the study of asymptotic behaviour for truncated Wiener-Hopf operators, which is a field attracting a great deal of interest at present.
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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 |
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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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