References
[BK] E. Brieskorn and H. Knorrer,Plane Algebraic Curves, Birkhäuser, Basel, 1986.
[PS] D. H. Phong and E. M. Stein,The Newton polyhedron and oscillatory integral operators, Acta Math.179 (1997), 107–152.
[PS2] D. H. Phong and E. M. Stein,Models of degenerate Fourier integral operators and Radon transforms, Ann. of Math.140 (1994), 703–722.
[PSSt] D. H. Phong, E. M. Stein and J. Sturm,Multilinear level set operators, oscillatory integral operators, and Newton diagrams, Math. Ann.319 (2001), 573–596.
[Ry] V. Rytchkov,Sharp L 2 bounds for oscillatory integral operators with C∞ phases, Math. Z.236 (2001), 461–489.
[V] A. N. Varchenko,Newton polyhedra and estimates of oscillatory integrals, Funct. Anal. Appl.18 (1976), 175–196.
R. J. Walker,Algebraic Curves, Princeton Univ. Press, 1950.
Author information
Authors and Affiliations
Additional information
This research was supported in part by NSF grant DMS-9988798.
Rights and permissions
About this article
Cite this article
Greenblatt, M. A direct resolution of singularities for functions of two variables with applications to analysis. J. Anal. Math. 92, 233–257 (2004). https://doi.org/10.1007/BF02787763
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02787763