Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Fourier restriction theorems for degenerate curves

S. W. Drurya1 and B. P. Marshalla1

a1 Department of Mathematics, McGill University, Montreal, P.Q. H3A 2K6, Canada

Fourier restriction theorems contain estimates of the form

S0305004100066901_eqn1

where σ is a measure on a smooth manifold M in xs221Dn. This paper is a continuation of [5], which considered this problem for certain degenerate curves in xs221Dn. Here estimates are obtained for all curves with degeneracies of finite order. References to previous work on this problem may be found in [5].

(Received January 31 1986)

(Revised October 27 1986)