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- W1532860104 abstract "A local two-dimensional resolution of singularities theorem and arguments based on the Van der Corput lemma are used to give new estimates for the decay rate of the Fourier transform of a locally defined smooth hypersurface measure in R^3, as well as to provide new proofs of some known estimates. These are then used to give L^q bounds on solutions to certain PDE problems in terms of the L^p norms of their initial data for various values of p and q. Unlike much of the earlier work in this subject, no use is made of the adapted coordinate systems that have been often been used to study two-dimensional oscillatory integrals; all of the needed information is furnished by the resolution of singularities theorem." @default.
- W1532860104 created "2016-06-24" @default.
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- W1532860104 date "2013-02-17" @default.
- W1532860104 modified "2023-09-27" @default.
- W1532860104 title "Two-dimensional resolution of singularities and Fourier transforms of surface measures" @default.
- W1532860104 hasPublicationYear "2013" @default.
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