Author:
Drury S. W.,Marshall B. P.
Abstract
Let M be a smooth manifold in . One may ask whether , the restriction of the Fourier transform of f to M makes sense for every f in . Since, for does not make sense pointwise, it is natural to introduce a measure σ on M and ask for an inequalityfor every f in (say) the Schwartz class. Results of this kind are called restriction theorems. An excellent survey article on this subject is to be found in Tomas[13].
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. [1] Christ M. . On the restriction of the Fourier transform to curves: endpoint results and the degenerate case, preprint.
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3. Restriction theorems for the Fourier transform
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