A Fourier restriction theorem for hypersurfaces which are graphs of certain real polynomials

Details A Fourier restriction theorem for hypersurfaces which are graphs of certain real polynomials A Fourier restriction theorem for hypersurfaces which are graphs of certain real polynomials

2005-04-22

arxiv.org/abs/math/0504451v1

Mathematics

Analysis of PDEs

Scientific paper

We will extend the Fourier restriction inequality for quadratic hypersurfaces
obtained by Strichartz. We will consider the case where the hypersurface is a
graph of a certain real polynomial which is a sum of one-dimensional monomials.
It is essential to examine the decay of a one-dimensional oscillatory

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