a1 Department of Mathematics, McGill University, Montreal, P.Q. H3A 2K6, Canada
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 inequality
for 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.
(Received June 08 1984)
* Both authors are supported by grants from NSERC Canada.