Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$
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- by A. Carbery, C. E. Kenig and S. N. Ziesler PDF
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Abstract:
We prove an optimal restriction theorem for an arbitrary homogeneous polynomial hypersurface (of degree at least 2) in $\mathbb {R}^3,$ with affine curvature introduced as a mitigating factor.References
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Additional Information
- A. Carbery
- Affiliation: Department of Mathematics, University of Edinburgh, Edinburgh EH9 2BJ, United Kingdom
- Email: carbery@maths.ed.ac.uk
- C. E. Kenig
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 100230
- Email: cek@math.uchicago.edu
- S. N. Ziesler
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- Email: ziesler@math.uchicago.edu
- Received by editor(s): May 11, 2010
- Received by editor(s) in revised form: May 24, 2011
- Published electronically: November 6, 2012
- Additional Notes: The second author was partially supported by NSF grants DMS-0456583 and DMS-0968472.
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 2367-2407
- MSC (2010): Primary 42B99
- DOI: https://doi.org/10.1090/S0002-9947-2012-05685-6
- MathSciNet review: 3020102