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Sharp L2 estimates for one-dimensional oscillatory integral operators with C∞ phase
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 127, Number 3, June 2005
- pp. 659-695
- 10.1353/ajm.2005.0021
- Article
- Additional Information
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Abstract
In this paper, sharp L2 estimates are proved for general local one-dimensional oscillatory integral operators with smooth phase. The proof involves a coarse resolution of singularities in conjunction with a stopping time argument and extensions of the analytic methods of D. H. Phong and E. M. Stein.
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