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arxiv: math/0504451 · v1 · submitted 2005-04-22 · 🧮 math.AP · math.CA

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

classification 🧮 math.AP math.CA
keywords certainfourierhypersurfacesone-dimensionalrealrestrictionwillcase
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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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