This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.
Isroil Ikromov and Detlef M ller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly.
download Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) (Annals of Mathematics Studies) pdf free
Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) (Annals of Mathematics Studies) download
Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) (Annals of Mathematics Studies) read online free book
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