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

Kei Morii
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Abstract

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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Kei Morii. 2005-04-22. A Fourier restriction theorem for hypersurfaces which are graphs of certain real polynomials. https://arxiv.org/abs/math/0504451

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