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

Research paper by Kei Morii

Indexed on: 22 Apr '05Published on: 22 Apr '05Published in: Mathematics - Analysis of PDEs



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