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A Restriction Theorem for a \\$k$-Surface in $\mathbb R ^n$

  Published:2005-06-01
 Printed: Jun 2005
  • Daniel M. Oberlin
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Abstract

We establish a sharp Fourier restriction estimate for a measure on a $k$-surface in $\mathbb R ^n$, where $n=k(k+3)/2$.
Keywords: Fourier restriction Fourier restriction
MSC Classifications: 42B10 show english descriptions Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 42B10 - Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
 

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