A restriction theorem for the Fourier transform
HTML articles powered by AMS MathViewer
- by Gerd Mockenhaupt PDF
- Bull. Amer. Math. Soc. 25 (1991), 31-36
References
- Michael Christ, On the restriction of the Fourier transform to curves: endpoint results and the degenerate case, Trans. Amer. Math. Soc. 287 (1985), no. 1, 223–238. MR 766216, DOI 10.1090/S0002-9947-1985-0766216-6
- Jean-Louis Clerc, Le comportement à l’infini des fonctions de Bessel généralisées. II, Adv. in Math. 66 (1987), no. 1, 31–61 (French, with English summary). MR 905926, DOI 10.1016/0001-8708(87)90029-6
- J. J. Duistermaat, J. A. C. Kolk, and V. S. Varadarajan, Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups, Compositio Math. 49 (1983), no. 3, 309–398. MR 707179
- Charles Fefferman, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9–36. MR 257819, DOI 10.1007/BF02394567
- Allan Greenleaf, Principal curvature and harmonic analysis, Indiana Univ. Math. J. 30 (1981), no. 4, 519–537. MR 620265, DOI 10.1512/iumj.1981.30.30043
- Harish-Chandra, Fourier transforms on a semisimple Lie algebra. I, Amer. J. Math. 79 (1957), 193–257. MR 87044, DOI 10.2307/2372680
- Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
- Sigurdur Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press, Inc., Orlando, FL, 1984. Integral geometry, invariant differential operators, and spherical functions. MR 754767 [Mo] G. Mockenhaupt, Singuläre Integrale vom Bochner-Riesz Typ, Dissertation, Universität Siegen, Federal Republic of Germany, 1990.
- Elena Prestini, Restriction theorems for the Fourier transform to some manifolds in $\textbf {R}^{n}$, Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978) Proc. Sympos. Pure Math., XXXV, Part, Amer. Math. Soc., Providence, R.I., 1979, pp. 101–109. MR 545244
- E. M. Stein, Oscillatory integrals in Fourier analysis, Beijing lectures in harmonic analysis (Beijing, 1984) Ann. of Math. Stud., vol. 112, Princeton Univ. Press, Princeton, NJ, 1986, pp. 307–355. MR 864375 [To] P. Tomas, On radial Fourier multipliers, Thesis, Cornell University, 1974.
Additional Information
- Journal: Bull. Amer. Math. Soc. 25 (1991), 31-36
- MSC (1985): Primary 42B05, 43A85
- DOI: https://doi.org/10.1090/S0273-0979-1991-16018-0
- MathSciNet review: 1091566