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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$
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by A. Carbery, C. E. Kenig and S. N. Ziesler PDF
Trans. Amer. Math. Soc. 365 (2013), 2367-2407 Request permission

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.
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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