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By Tao T., Vargas A.

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Rmander, Fourier integral operators, Acta Math. 127 (1971), 79– [H] L. Ho 183. [MVV1] A. Moyua, A. Vargas, L. Vega, Schr¨odinger Maximal Function and Restriction Properties of the Fourier transform, International Math. Research Notices 16 (1996). Vol. 10, 2000 BILINEAR CONE MULTIPLIERS I 215 [MVV2] A. Moyua, A. Vargas, L. Vega, Restriction theorems and Maximal operators related to oscillatory integrals in R3 , Duke Math. , to appear. [S] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol.

Bourgain, On the restriction and multiplier problem in R3 , Springer Lecture Notes in Mathematics 1469 (1991), 179–191. [Bo3] J. Bourgain, A remark on Schrodinger operators, Israel J. Math. 77 (1992), 1–16. [Bo4] J. Bourgain, Estimates for cone multipliers, Operator Theory: Advances and Applications 77 (1995), 41–60. [Bo5] J. M. Stein, Princeton University Press (1995), 83–112. ¨ lin, Oscillatory integrals and a multiplier problem [CS] L. Carleson, P. Sjo for the disc, Studia Math. 44 (1972), 287–299.

To appear. [S] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. , 1979. Second Edition. M. Stein, Harmonic Analysis, Princeton University Press, 1993. [T] T. Tao, The Bochner-Riesz conjecture implies the Restriction conjecture, Duke Math. , to appear. [TV] T. Tao, A. Vargas, A bilinear approach to cone multipliers II. Applications, GAFA, in this issue. [TVV] T. Tao, A. Vargas, L. Vega, A bilinear approach to the restriction and Kakeya conjectures, J. Amer. Math. Soc. 11 (1998), 967–1000.

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A bilinear approach to cone multipliers I by Tao T., Vargas A.


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