A uniform estimate for Fourier restriction to simple curves

Author:
Daniel M. Oberlin

Journal:
Proc. Amer. Math. Soc. **137** (2009), 4227-4242

MSC (2000):
Primary 42B10

Published electronically:
August 4, 2009

MathSciNet review:
2538584

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove a uniform Fourier extension-restriction estimate for a certain class of curves in .

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Additional Information

**Daniel M. Oberlin**

Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306

Email:
oberlin@math.fsu.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-09-10047-3

Keywords:
Fourier transforms of measures on curves,
Fourier restriction problem,
affine arclength measure

Received by editor(s):
November 6, 2008

Received by editor(s) in revised form:
May 26, 2009

Published electronically:
August 4, 2009

Additional Notes:
The author was supported in part by NSF grant DMS-0552041.

Communicated by:
Michael T. Lacey

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.