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Fourier restriction theorems for degenerate curves

Published online by Cambridge University Press:  24 October 2008

S. W. Drury  and
B. P. Marshall
S. W. Drury
Affiliation:
Department of Mathematics, McGill University, Montreal, P.Q. H3A 2K6, Canada
B. P. Marshall
Affiliation:
Department of Mathematics, McGill University, Montreal, P.Q. H3A 2K6, Canada
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Extract

Fourier restriction theorems contain estimates of the form

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

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 3 , May 1987 , pp. 541 - 553
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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