| EPSRC Reference: |
GR/L78574/01 |
| Title: |
OSCILLATORY INTEGRALS IN HARMONIC ANALYSIS |
| Principal Investigator: |
Carbery, Professor A |
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| Department: |
Sch of Mathematics |
| Organisation: |
University of Edinburgh |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 1998 |
Ends: |
30 April 1998 |
Value (£): |
3,600
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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It is proposed to attack several problems in harmonic analysis which have oscillatory integrals as a common theme, and which have hitherto proved resistant. These are:(i) The problem of pointwise Fourier Inversion under mild smoothness hypotheses,(ii) Structure of Sets of Divergence for the Localisation Problem for Multiple Fourier Integrals.(iii) Estimates for sublevel sets of functions with large derivatives and (iv) Restriction of the Fourier Transform as a Universal Phenomenon.
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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.ed.ac.uk |