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Fourier restriction for affine arclength measures in the plane
Author:
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.
- [D]
S.
W. Drury, Degenerate curves and harmonic analysis, Math. Proc.
Cambridge Philos. Soc. 108 (1990), no. 1,
89–96. MR
1049762 (91h:42021), http://dx.doi.org/10.1017/S0305004100068973
- [O]
Daniel
M. Oberlin, Convolution with affine arclength
measures in the plane, Proc. Amer. Math.
Soc. 127 (1999), no. 12, 3591–3592. MR 1690999
(2000c:42016), http://dx.doi.org/10.1090/S0002-9939-99-05462-3
- [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:
http://dx.doi.org/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
Article copyright:
© Copyright 2001 American Mathematical Society
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