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Fourier restriction for affine arclength measures in the plane
Author(s):
Daniel
M.
Oberlin
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3303-3305.
MSC (1991):
Primary 42B10
Posted:
April 2, 2001
MathSciNet review:
1845006
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Abstract:
We obtain an analog, uniform for a large class of curves in the plane, of the Fefferman-Zygmund theorem on restriction of the Fourier transform.
References:
-
- [D]
- S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Camb. Phil. Soc. 108 (1990), 89-96. MR 91h:42021
- [O]
- D. M. Oberlin, Convolution with affine arclength measures in the plane, Proc. Amer. Math. Soc. 127 (1999), 3591-3592. MR 2000c:42016
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Additional Information:
Daniel
M.
Oberlin
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Email:
oberlin@math.fsu.edu
DOI:
10.1090/S0002-9939-01-06012-9
PII:
S 0002-9939(01)06012-9
Keywords:
Fourier transform,
restriction
Received by editor(s):
March 15, 2000
Posted:
April 2, 2001
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2001,
American Mathematical Society
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