Abstract
List of Illustrations
Acknowledgments
Introduction

Part A: Asymptotic estimates for oscillatory integral operators

1. Singular oscillatory integral operators
2. Asymptotic estimates
3. Almost orthogonal decompositions
4. Estimates away from the critical variety
5. Estimates at the critical variety
6. Almost orthogonality relations

Part B: The Radon Transform of Melrose and Taylor

7. Radon Transform of Melrose-Taylor in scattering theory
8. Regularity properties
9. Regularity of generalized Radon Transforms
10. Associated canonical relation
11. Obstacle admitting tangent planes with precise contact
12. Obstacle with asymptotically small principal curvature
13. One-sided almost orthogonal decompositions
14. Individual estimates near the critical variety
15. Regularity properties of the operator $\tilde{F}$

References
Appendix: Cotlar-Stein Almost Orthogonality